Question

In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

SOLUTION

GIVEN

In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports.

TO DETERMINE

The probability that a student chosen randomly from the class plays basketball or baseball

EVALUATION

Here it is given that total number of students = 26

So total number of possible outcomes = 26

Let A be the event that a student play basketball and B be the event that a student play baseball

Then A ∪ B is the event that the a student plays basketball or baseball

Then

n(A) = 16 , n(B) = 9 , n( A ∩ B ) = 5

Now

n( A ∪ B )

= n(A) + n(B) - n( A ∩ B )

= 16 + 9 - 5

= 20

Hence the required probability

$\displaystyle\sf{ = \frac{Number \: of \: favourable \: cases \: for \: the \: event }{Total \: number \: of \: possible \: outcomes } }$

$\displaystyle\sf{ = \frac{20}{26} }$

$\displaystyle\sf{ = \frac{10}{13} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The sun rises from north. What is the probability

https://brainly.in/question/25984474

2. probability of a 10 year flood occurring at least once in the next 5 years is

https://brainly.in/question/23287014