Find the Probability of One Event or a Second Event Occurring
-Given the sequence $7,8,9,10 \ldots 44$, what is the probability that a number in the sequence is even or that it is greater than 10 and less then 25 ?
A) $\frac { 13 } { 19 }$
B) $\frac { 33 } { 38 }$
C) $\frac { 51 } { 76 }$
D) $\frac { 51 } { 74 }$

Question

Quizplus · Accepted Answer

The sequence has 38 numbers. There are 19 even numbers and 14 numbers greater than 10 and less than 25. The overlap is 7 numbers (12, 14, 16, 18, 20, 22, 24). Using the formula for the probability of either event: P(A or B) = P(A) + P(B) - P(A and B), we get (19 + 14 - 7)/38 = 26/38 = 13/19.

Find the Probability of One Event or a Second Event 7,8,9,10…447,8,9,10 \ldots 447,8,9,10…44

Find the Probability of One Event or a Second Event $7,8,9,10 \ldots 44$