The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are both more than 74 inches tall and taking honors classes.
If 2 players are randomly selected from the team, what is the probability that both players are more than 74 inches tall or taking honors classes?
A. B. C. D.
Answers
Given : The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are both more than 74 inches tall and taking honors classes.
2 players are randomly selected from the team,
To Find : probability that both players are more than 74 inches tall or taking honors classes
Solution:
The school basketball team has 15 players
Total Players = 15
2 players out of 15 can be selected in ¹⁵C₂ = 105 ways
more than 74 inches tall, = 7
taking honors classes, = 6
74 inches tall and taking honors classes. = 5
n 74 inches tall or taking honors classes = 7 + 6 - 5 = 8
2 players out of 8 can be selected in ⁸C₂ = 28 ways
Probability that both players are more than 74 inches tall or taking honors classes = 28/105
= 4/15
4/15 is the probability that both players are more than 74 inches tall or taking honors classes
Learn More:
10 examples for sure events - Brainly.in
brainly.in/question/14649505
Draw a probability scale. Mark each of these outcomes on your ...
brainly.in/question/15157569