Coin A is tossed three times and coin B is tossed two times. What is the probability that more heads are tossed using coin A than coin B?

Question

THE ANSWER IS NOT 7/16

Answer 1

Just counting the heads tossed,
P(3,2) = 1/8 * 1/4
P(3,1) = 1/8 * 1/2
P(3,0) = 1/8 * 1/4
P(2,1) = 3/8 * 1/2
P(2,0) = 3/8 * 1/4
P(1,0) = 3/8 * 1/4
P(A>B) = ∑P(A,B) = 1/2

Answer 2

That is correct. Thanks.

Answer 3

Simulate the supply for 20 days using the random numbers below in order to calculate the expected average from 6,68,59,75,96,68,71,71,69,31,28,99,76,38,53,10,78,38,84,65