PLEASE HELP ME with an explanation. Thanks in advance

Question

asked Nov 6, 2021 205k views

1 Answer

Tewdyn · Answer 1 · 2021-11-11T14:02:09+0000

Answer:

Option 3.

Explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

n(B)=28+68=96

n(S)=82+68=150

n(T)=28+68+82+52=230

$n(B\cap S)=68$

Using this information, we get

$P(B)=(n(B))/(n(T))=(96)/(230)\approx 0.42$

$P(S)=(n(S))/(n(T))=(150)/(230)\approx 0.65$

$P(S|B)=(P(B\cap S))/(P(B))=(n(B\cap S))/(n(B))=(68)/(96)\approx 0.71$

$P(B|S)=(P(B\cap S))/(P(S))=(n(B\cap S))/(n(S))=(68)/(150)\approx 0.45$

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.