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.

Ido not know i use to

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.