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Chapter 5: Problem 17

What is the probability that a baby will be born on a Friday OR a Saturday OR a Sunday if all the days of the week are equally likely as birthdays?

Short Answer

Expert verified
The probability that a baby will be born on a Friday, Saturday or a Sunday is \(\frac{3}{7}\). This is because there are 3 successful outcomes (Friday, Saturday, Sunday) and 7 possible outcomes (all the days of the week).

Step by step solution

01

Define Success and Sample Space

Let's start by defining what would be a 'success' and our sample space in this event. A success in this case refers to a baby being born on a Friday, Saturday, or Sunday. And since we're told that all days of the week are equally likely, our sample space is 7 (Monday through Sunday). So, we have 3 successful outcomes and 7 possible outcomes.
02

Calculate The Probability

The probability of an event occurring is calculated by dividing the number of successful outcomes by the number of possible outcomes. Hence, in this case, it would be the number of successful outcomes which is 3 (Friday, Saturday, or Sunday) divided by the number of possible outcomes which is 7 (all days of the week).

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