Mathematics: The school play has two leading roles. the play s director decides to choose the leading actors by drawing two names from a hat that contains the names of four students who want the lead parts. you and your best friend both want to be leads. what is the probability that you will be selected first, and then your best friend will also be selected for a leading role?

The school play has two leading roles. the play s

dee21099

08.06.2020

$\dfrac{1}{12}$

Step-by-step explanation:

Given: The total number of participants = 4

The probability of getting you selected first is given by :-

$\text{P(you)}=\dfrac{1}{4}$

After you get selected , the number of students left= 3

Then the probability of getting your friend selected at second is given by :-

$\text{P(your friend )}=\dfrac{1}{3}$

Now, the probability that you will be selected first, and then your best friend will also be selected for a leading role is given by :-

$\text{P(you)}\times\text{P(your friend )}=\dfrac{1}{4}\times\dfrac{1}{3}=\dfrac{1}{12}$

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