Answer to Question #151872 in Statistics and Probability for zarshaid ali khan

Question

3. Bag A contains 30 balls of which 9 are yellow and 6 are green. Bag B contains 34 balls of
which 14 are yellow and 11 are green. A ball is drawn at random from each bag. (a) Draw a
Probability Tree Diagram to show all the outcomes the experiment. (b) Find the probability
that: (i) both are yellow. (ii) both are green. (iii) one green and one yellow. (iv) at least one
yellow.

Answer 1

(a) Y - yellow ball

G - green ball

D - different (not yellow and not green) ball

(b) (i) P(both are yellow) = 21/170

(ii) P(both are green) = 11/170

(iii) P(one green and one yellow) = 7/85+33/340 = 61/340

(iv) P(at least one yellow) = 9/30+7/85+7/34 = 10/17