Question 1

Which of the numbers that follow could represent a probability? 
A)both I and II
B)neither
C)only II
D)only I

Accepted Answer

Probability values are always between 0 and 1. The number given in option II is a hexadecimal number that can represent a probability value, as it falls within the range of 0 to 1 when converted to decimal form. Option I, on the other hand, is a combination of letters and numbers and cannot represent a probability value. A probability must be a number between 0 and 1, inclusive. None of the characters in option I are numbers between 0 and 1. The characters in option II could represent a hexadecimal number between 0 and 1 if converted correctly, and therefore could represent a probability.

Question 2

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose,
Or tie. Find the probability of losing twice in a row.
A) 
B) 
C) 
D)

Accepted Answer

The probability of losing once is 1/3 since there are three possible outcomes and one of them is losing. 
To lose twice in a row, the first game has to be a loss (1/3 chance) and then the second game also has to be a loss (1/3 chance). 
The probability of losing twice in a row is (1/3) * (1/3) = 1/9. 
Therefore, the answer is C, 11ebb939_4a79_4d08_9e6c_09af543a0e64_TB8446_11.

Question 3

The difference between percent chance and probability is that we write probability as a number
between and .

Accepted Answer

zero; one

Question 4

Which of the numbers that follow could represent a probability?
I. 50% II. 35%
A)only I
B)neither
C)only II
D)both I and II

Accepted Answer

Both 50% and 35% could represent probabilities because probabilities range from 0% (impossible) to 100% (certain), and both percentages fall within that range. Both 50% and 35% represent probabilities. A probability is a number between 0 and 1 that represents the likelihood of an event occurring, where 0 means the event is impossible and 1 means the event is certain. 50% means that the event has an equal chance of occurring and not occurring, while 35% means that the event has a chance of occurring that is less than 50% but greater than 0.

Question 5

If a die is rolled one time, find the probability of getting a number greater than 6.
A)1
B)5/6
C)0
D)1/6

Accepted Answer

The numbers on a die range from 1 to 6, so there is no number greater than 6. Therefore, the probability of getting a number greater than 6 is 0. The die has only 6 faces with numbers from 1 to 6. Thus, getting a number greater than 6 is impossible, so the probability is 0.

Question 6

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16
-30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing a
Number less than 22.
A) 
B) 
C) 
D)

Accepted Answer

The answer of There are 75 balls in a bingo...

Question 7

When an event can't possibly occur, its probability is . When an event is certain to occur, its
probability is .

Accepted Answer

The answer of When an event can't possibly occur, its...

Question 8

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16
-30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I28.
A)0
B) 
C) 
D)

Accepted Answer

The answer of There are 75 balls in a bingo...

Question 9

For an event E in a sample space, the set of all outcomes that are not in E is called the of E.

Accepted Answer

The answer of For an event E in a sample...

Question 10

In a classroom, the students are 14 boys and 4 girls. If one student is selected at random, find the
Probability that the student is a girl.
A) 
B) 
C) 
D)

Accepted Answer

The total number of students in the classroom is 14 + 4 = 18. Since there are only 4 girls in the classroom, the probability of selecting a girl is 4/18, which simplifies to 2/9. Therefore, B is the correct answer. The total number of students is 14 + 4 = 18. 
The number of girls is 4. 
The probability of selecting a girl is the number of girls (4) divided by the total number of students (18): 
4/18 = 2/9.
Therefore, the correct answer is B (2/9).

Question 11

If you add the probabilities for every outcome in the sample space, the result is always .

Accepted Answer

The answer of If you add the probabilities for every...

Question 12

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose,
Or tie. Find the probability of losing at least once in two tries.
A) 
B) 
C) 
D)

Accepted Answer

The answer of In the game of rock, paper, scissors,...

Question 13

The children at a certain school were asked what they prefer to drink with their lunch, and the
Following table summarizes the children's responses.  The school only serves milk, chocolate milk, or water with lunch. What is the probability that the first student
In line for lunch will be served their preferred beverage with their lunch?
A)0.37
B)0.54
C)0.63
D)0.46

Accepted Answer

The answer of The children at a certain school were...

Question 14

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random,
What is the probability that it is not blue?
A)1/11
B)11/16
C)1/5
D)5/16

Accepted Answer

The total number of marbles is 5 (blue) + 8 (green) + 3 (yellow) = 16. The probability of not selecting a blue marble is the sum of the probabilities of selecting a green or a yellow marble, which is (8 + 3) / 16 = 11 / 16.

Question 15

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random,
what is the probability that it is green?

Accepted Answer

The answer of A box contains five blue, eight green,...

Question 16

In any experiment, the set of all possible outcomes is called the .

Accepted Answer

The answer of In any experiment, the set of all...

Question 17

If a die is rolled one time, find the probability of getting a number less than 4 or an even number.
A)1/6
B)1
C)5/6
D)0

Accepted Answer

Getting a number less than 4: There are 3 possible outcomes (1, 2, 3) out of 6 total outcomes, so the probability is 3/6 or 1/2.
Getting an even number: There are 3 possible outcomes (2, 4, 6) out of 6 total outcomes, so the probability is 3/6 or 1/2.
To find the probability of either event happening, we add the probabilities of each event happening and subtract the probability of both events happening at once (because that would be counted twice). So, the probability is:
P(number less than 4 or even) = P(number less than 4) + P(even) - P(less than 4 and even)
P(number less than 4 or even) = 1/2 + 1/2 - 1/3
P(number less than 4 or even) = 5/6
Therefore, the best choice is C. Getting a number less than 4 includes rolling a 1, 2, or 3, which has a probability of 3/6 or 1/2. Rolling an even number includes rolling a 2, 4 or 6, which also has a probability of 3/6 or 1/2. To find the probability of getting either of these outcomes, we add the probabilities together:

P(number less than 4 or an even number) = P(number less than 4) + P(even number) 
= 1/2 + 1/2 
= 1

Therefore, the probability of getting a number less than 4 or an even number when rolling a die one time is 1, which corresponds to choice C.

Question 18

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose,
Or tie. Find the probability of having the same outcome twice in a row.
A) 
B) 
C) 
D)

Accepted Answer

The answer of In the game of rock, paper, scissors,...

Question 19

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16
-30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing an odd
Number.
A) 
B) 
C) 
D)

Accepted Answer

The odd numbers in the bingo hopper are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75.

There are a total of 75 balls in the bingo hopper, so the probability of drawing any one ball is 1/75.

Of the 75 balls, there are 38 odd-numbered balls. Therefore, the probability of drawing an odd number is 38/75, which simplifies to 0.5067 or approximately 0.51.

The closest answer choice to this probability is C, which is 0.51.

Question 20

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16
-30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I10.
A) 
B) 
C) 
D)0

Accepted Answer

The answer of There are 75 balls in a bingo...

Quiz 10: Probability and Counting Techniques

Which of the numbers that follow could represent a probability?

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose, Or tie. Find the probability of losing twice in a row.

The difference between percent chance and probability is that we write probability as a number between and .

Which of the numbers that follow could represent a probability? I. 50% II. 35%

If a die is rolled one time, find the probability of getting a number greater than 6.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing a Number less than 22.

When an event can't possibly occur, its probability is . When an event is certain to occur, its probability is .

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I28.

For an event E in a sample space, the set of all outcomes that are not in E is called the of E.

In a classroom, the students are 14 boys and 4 girls. If one student is selected at random, find the Probability that the student is a girl.

If you add the probabilities for every outcome in the sample space, the result is always .

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose, Or tie. Find the probability of losing at least once in two tries.

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, What is the probability that it is not blue?

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is green?

In any experiment, the set of all possible outcomes is called the .

If a die is rolled one time, find the probability of getting a number less than 4 or an even number.

In the game of rock, paper, scissors, two people play, and it's equally likely that you will win, lose, Or tie. Find the probability of having the same outcome twice in a row.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing an odd Number.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I10.