Question

If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /

Answer 1

1/4

Explanation:

If you flip it twice the possible outcomes are

H H

H T

T H

T T

The chances of you getting H H is 1 / 4. If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.

H H H *

H H T *

H T H

H T T

T H H *

T H T

T T H

T T T

What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25

Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are

H H H H

H H H T

H H T T

H H T H

T H H T

T T H H

H T H H

I'm sure there might be a couple of more, but already you have done better than 3/8

7/16 is almost 1/2

7/16 = 0.4375

I think however that the answer you should submit is 1/4