Question

The sample space for flipping a coin three times is given. Let H represent Heads and T represent Tails

(H,H,H) (H,T,T)
(H,H,T) (T,H,T)
(H,T,H) (T,T,H)
(T,H,H) (T,T,T)

Find The probabilities of the following events using the Above sample space
A. 2 heads, 1 tail
B. 3 heads
C. 2 Tails, 1 Head
D. 3 tails
E. The sum of the probabilities equals

, Are A and C the same 3/8?
and B and D as well 1/8?

Answer 1

Here's the answer:
A. There are 3 favorable outcome for 2 heads, 1 tail (3/8 or 0.375 probability)B. There is 1 favorable outcome for 3 heads (1/8 or 0.125 probability)C. There are 3 favorable outcome for 2 tails, 1 head (3/8 or 0.375 probability)D. There is 1 favorable outcome for 3 tails (1/8 or 0.125 probability)E. Sum of probabilities = A+B+C+D
Sum of probabilities = 0.375 + 0.125 + 0.375 + 0.125Sum of probabilities = 1


A and C are the same, they both have 3/8 probability. As well as B and D, both have 1/8 probability.