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?

Here's the
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.

Step-by-step explanation:

b