Coin a is flipped 3 times and coin b is flipped 5 times. what is the probability that the number of heads obtained from flipping the two coins is the same?

There are 4 ways that we will ended up with the same number of heads:
1) When both have 0 head.
2) When both have 1 head.
3) When both have 2 heads.
4) when both have 3 heads.

Probability that both have 0 head:


Probability that both have 1 head:


Probability that both have 2 heads:


Probability that both have 3 heads:


Probability of getting the same number of heads =