Question

Janis tossed a coin twice. She made a tree diagram to show the possible outcomes.

Answer 1

The probability of tossing a head is =1/2

The probability of tossing a tail is =1/2

If the coin is tossed twice, the probability of tossing two heads will be given by

$P(HnH)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

If Janis tossed the coin three times, then the tree diagram will be extended as shown below:

Hence,

$P(HnHnH)=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}$