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.
One of the most fundamental truths of (Euclidean) geometry is that the ratio of the circumference to the diameter of any circle is a constant, and that constant is called pi (denoted by π π). Let C be the (length of the) circumference of a circle, and let d be its diameter. Then, we must have: C d = π C d = π
The answer is C because when you rotate 90 degrees clockwise (x,y) becomes (y,-x)
The answer to this question is choice option letter C
