PART B
The probability is 1/2
STEP - BY - STEP EXPLANATION
What to find?
The probability of identical twins given that the twins consists of two boys.
Let A be the event of identical twins.
Let B be the event of having two boys as twins.
From the table given;
P(A) = 2/38
P(B)= 2/38
Recall the formula for a condititional probabibility
![P(A\text{ \backslash{}B)=}\frac{P(A\text{ n }B)}{P(B)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/i6xyfuhai8zl35vt1a2apam50c6wfh4y0t.png)
Note that:
P(A n B) =1/38
![P(A\text{ \backslash B) =}((1)/(38))/((2)/(38))](https://img.qammunity.org/2023/formulas/mathematics/high-school/3izvc8uqltx8wa9sk6a1t6a67pnhjb58b5.png)
![=(1)/(38)*(38)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2g0dizyb0uurqegln05rwh9cn083258kr9.png)
![=(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4rfuhf8r2k47039k52yy7jakw280m99iuf.png)
Therefore, the probability of identical twins given that the twins consists of two boys is 1/2