Question

if chances of A, winning a race is 1/6, 3 winning the same race is 1/3, what is the chances both will win if winning at least is 2/3?​

Answer 1

It is 12 .

If they both join the same competition,

P(A lose and B lose) =1−16−13=12.

Let’s see what confuses people.

When A and B are joining different competitions,

P(A loses) =1−13=23

P(B loses) =1−16=56

P(A and B lose)

= P((A loses) ∩ (B loses))

= P(A loses) × P(B loses)

=23×56

=59

I HOPE IT'S HELPFULL