Respuesta :
Probability the first pick is a girl: 7/10
Probability the second pick is a girl: 6/9
Probability the third pick is a girl: 5/8
Probability of picking 3 girls:
7/10 * 6/9 * 5/8 =
= (7 * 6 * 5)/(10 * 9 * 8)
= (7 * 1 * 1)/(2 * 3 * 4)
=7/24
Approximately 0.29 = 29%
The probability that everyone in the group is a girl if the teacher picks a group of 3 at random is 29%.
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
P(E) = Number of favorable outcomes / total number of outcomes
It is given that
The probability of the first pick is a girl = 7/10
The probability of the second pick is a girl = 6/9
The probability of the third pick is a girl = 5/8
we need to find the probability that everyone in the group is a girl
So, The probability of picking 3 girls randomly
= 7/10 × 6/9 × 5/8
= (7 × 6 × 5)/(10 × 9 × 8)
=7/24
0.29 = 29%
Thus, the probability that everyone in the group is a girl is 29%.
Learn more about probability here;
https://brainly.com/question/11234923