Question

box A and Box B each contain blue and green pens only. Raphael pick a pen at random from box A and pulao pick a Pen at random from Box B. the probability that Raphael picks a blue pen is 2/3. the probability that both Raphael and pulao pick a blue pen is 8/15 a) Find the probability that pulao picks a blue pen

Answer 1

a)4/5

B)1/15

Explanation:

The probability to Rachel pick blue pan is 2/3, p(a)=2/3

The probability to Poalo pick a blue pen is p(b).

The probability the both bick a pan is:

P(a&b)=8/15

p(a&b)=p(a)*p(b)

8/15=2/3*p(b)

P(b)=(8/15)/(2/3)=3*8/(15*2)=4/5

b) we know the probability od picking blue pan and i. The box are blu and green pans. So the probability to pick green is 1- probability to pick blue, so we have:

the probability to Rachal pick green pan is

P(a)=1-2/3=1/3

The probability to Poal pick green pan is

P(b)=1-4/5=1/5

The probability theh both pic green pan is:

1/3*(1/5)=1/15