Question

Jack is thinking of two positive integers less than 14. what is the probability that their product is even?

a. 120169
b. 133169
c. 36169
d. 49169

Answer 1

The probability that the product of two positive integers less than 14 is even is 9/19.

Step-by-step explanation:

The probability that the product of two positive integers less than 14 is even can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, the sample space S consists of all whole numbers between 1 and 19, and event A represents the even numbers. The outcome where both numbers are even is the favorable outcome. Thus, the probability can be calculated as:

P(A) = Number of even numbers in S / Total number of numbers in S

By substituting the values, we get:

P(A) = 9 / 19

Therefore, the answer is 9/19.