Respuesta :

Probabiilty of no heads means ALL tails.

So, in 5 flips, we want:

T T T T T

Probability of tail is 0.5

Also,

Probability of heads/tails in each flips in independent of all other flips so each flip having tails have a probability of 0.5 each.

Thus,

[tex]P(\text{no headsd)=P(all tails)=0.5x0.5x0.5x0.5x0.5=0.03125}[/tex]

In percentage to nearest hundredth, the answer is:

0.03125 * 100 = 3.125%,

3.13%