To win a prize, a person must select 4 numbers from 15 numbers without replacement. Find the
Probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order.)Round to four decimal places, if necessary.
A)0.2667
B)0.0007
C)0.0167
D)0.0022

Question

Quizplus · Accepted Answer

The probability of winning by selecting 4 numbers out of 15 without replacement is calculated using the combination formula, which is the number of ways to choose 4 numbers out of 15 divided by the total number of possible outcomes. This is given by C(15,4) = 15! / (4!(15-4)!) = 1365 possible ways to choose 4 winning numbers. Since there is only one way to win (choosing the correct combination), the probability is 1/1365 = 0.000733. Rounded to four decimal places, this is 0.0007.

To Win a Prize, a Person Must Select 4 Numbers