NEIL'S SOCCER TEAM CONSISTS OF 8 SOPHOMORE MEMEBERS, 14 JUNIOR MEMBERS, AND 10 SENIOR MEMBERS. IF ONE MEMBER IS SELECTED AT RANDOM TO ACT AS CAPTAIN, WHAT IS THE PROBAABILITY THAT THE CAPTAIN WILL NOT BE A SOPHOMORE?
prob(captain will be a sophomore)
= 8/32 = 1/4
prob(not a sophomore)
= 1 = 1/4
= 3/4
To find the probability that the captain will not be a sophomore, we need to determine the total number of possible outcomes (captain from any grade) and the number of outcomes where the captain is not a sophomore.
Total number of outcomes:
Since there are 8 sophomores, 14 juniors, and 10 seniors, the total number of members in the soccer team is 8 + 14 + 10 = 32.
Number of outcomes where the captain is not a sophomore:
Since there are 14 juniors and 10 seniors, the number of outcomes where the captain is not a sophomore is 14 + 10 = 24.
Now, we can calculate the probability using the formula:
Probability = Number of favorable outcomes / Total number of outcomes
So, the probability that the captain will not be a sophomore is:
Probability = Number of outcomes where the captain is not a sophomore / Total number of outcomes
Probability = 24 / 32
Probability = 3 / 4
Probability = 0.75
Therefore, the probability that the captain will not be a sophomore is 0.75 or 75%.