Question

Drama school preparing for play. Random drawing to assign parts. 37 boys and 51 girls in the school. 35 parts for boys and 42 parts for girls.1. Dominique is hoping for female lead role. what is the possibility she will get the lead if is the first role cast?2. 5 female roles have been chosen and lead role is still available. What is the probability that Dominique will land the role now?3. Donnie doesn't want to be in the play because he is busy. What is the probability that he won't be in the play at all?

Answer 1

Question 1

(1/51)

Question 2

(1/46)

Question 3

(2/37)

Step-by-step explanation

The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.

1) The female lead role is just one role.

Number of female lead role = 1

Total number of females that can get the role = 51

Probability of Dominique landing the female lead role = (1/51)

2) 5 female roles have already been assigned

Number of female lead roles = 1

Total number of females that can now get the role = 51 - 5 = 46

Probability of Dominique landing the female lead role now = (1/46)

3) Donnie does not want to be in the play.

Number of boys that won't be in the play = 2

Total number of boys = 37

Probability that Donnie won't be in the play = (2/37)

Hope this Helps!!!