Answer: 32
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
