Question

What is the probability of flipping 2 heads and 3 tails? Round the answer to the nearest hundredth of a percent.

Answer 1

The probability of heads or tails in each flip is independent of other flips.

In a normal coin, we know

p(heads) = 0.5

p(tails) = 0.5

We want 2 heads and 3 tails in 5 flips. So, we want:

H H T T T

Each individual heads or tails is 0.5

We multiply each of them, thus

`p(2H,3T)=0.5*0.5*0.5*0.5*0.5=0.03125`

In percentage:

0.03125 * 100 = 3.125%

Rounding to nearest hundredth [2 decimal places] >>> 3.13%

Final Answer:

3.13%