Respuesta :
There are 10 students in a class: 5 boys and 5 girls then the probability that everyone in the group is a boy is 1/12.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
It is given that the Total number of students = 10
Number of boys = 5
Number of girls= 5
The number of ways to choose 5 students from 10 is ₁₀C₅.
= 9! / 5! 5!
= 252
The number of ways to choose 5 students from 10 is ₁₀C₅.
The number of ways to choose 5 students from 7 girls is ₇C₅.
= 6! / 5! 2!
= 21
Then the probability that everyone in the group is a boy
P(E) = Number of favorable outcomes / total number of outcomes
= 21/252
= 1/12.
Thus, the probability that everyone in the group is a boy is 1/12.
Learn more about probability here;
brainly.com/question/11234923
