Question

Determine P(E/F) if mother father and son line up at random for a tamily pictur. E = son on one end F. Father in middle.

Options

• `3/7`

• `1/2`

• 0

• 1

Answer 1

1

Explanation:

Mother (m), Father (f) and Son (s) line up at random E : Son on one end :

{(s, m, f), (s, f, m,), (f, m, s), (m, f, s)}

F: Father in middle: {(m, f, s),(s, f, m)}

E ∩ F = {(m, f, s), (s, f, m)}

P(E ∩ F) = `2/31 = 2/6 = 1/3`; P(F) = `2/6 = 1/6`

P(E/F) = `(P(E ∩ F))/(P(F)) = 1/3 + 1/3` = 1