Question

Hey can you please help me posted picture of question

Answer 1

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.