Question

A. 7/16 B. 7/15 C. 14/16 D. 14/15

Answer 1

Ok so P(B/A) is equal to Event B = 3/16 divided by Event A = 5/16

Event B = 3/16 Since P(not getting blue) = 12/16 = 3/4 times P(getting blue on second turn) = 4/15

4/15 times 3/4 = 12/60 = 1/5

Now we divide 1/5 by 5/16

1/5 / 5/16 =

1/5 x 16/5 =

16/25=

Hope this helps!

Answer 2

$P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\ |\Omega|=16\cdot15=240\\ |A|=5\cdot15=75\\ |A\cap B|=5\cdot7=35\\\\ P(A)=\dfrac{75}{240}=\dfrac{5}{16}\\ P(A \cap B)=\dfrac{35}{240}=\dfrac{7}{48}\\\\ P(B|A)=\dfrac{\dfrac{7}{48}}{\dfrac{5}{16}}=\dfrac{7}{48}\cdot\dfrac{16}{5}=\dfrac{7}{15}\Rightarrow \text{B }$