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Chapter 8: Problem 6

Assuming that people are equally likely to be born during any one of the months, what is the probability of Jack being born during (a) June? (b) any month other than June? (c) either May or June?

Short Answer

Expert verified
The probability of Jack being born in (a) June is 1/12. (b) Any month other than June is 11/12. (c) Either May or June is 1/6.

Step by step solution

01

Understand the concept of probability

Probability is a measure of the likelihood that a given event will occur. The formula for probability is: Probability of an event = Number of favourable outcomes / Total number of outcomes. In this problem, the total number of outcomes is 12 because there are 12 months in a year.
02

Solve part (a)

In part (a), the question asks for the probability that Jack was born in June. Since there is only one June in a year, there is one favourable outcome. Therefore, the probability of Jack being born in June is 1/12. You would calculate this by dividing the number of favourable outcomes (1, because there is only one June in a year) by the total number of outcomes (12, representing each month of the year).
03

Solve part (b)

In part (b), the question asks for the probability of Jack being born in any month other than June. This means there are 11 favourable outcomes (all the months except June). Therefore, the probability of Jack being born in any month other than June is 11/12. You would calculate this by dividing the number of favourable outcomes (11, because there are 11 months that are not June) by the total number of outcomes (12, representing each month of the year).
04

Solve part (c)

In part (c), the question asks for the probability of Jack being born in either May or June. This means there are 2 favourable outcomes (May and June). Therefore, the probability of Jack being born in either May or June is 2/12 or 1/6 when simplified. You would calculate this by dividing the number of favourable outcomes (2, because there are two specific months asked for: May and June) by the total number of outcomes (12, representing each month of the year).

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