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