Question

14. A unfair coin has the probability of heads

3 / 8

and the probability of tails

5 / 8

. What is the probability
of tossing three heads in a row? Of tossing two heads followed by one tail? Of tossing two heads and one
tail in any order?

Answer 1

the probability of tossing three heads in a row

`=\left( (3)/(8) \right)^(3) =(27)/(512) =0.052734375`

…………………………………………

the probability of tossing two heads followed by one tail

`=\left( (3)/(8) \right)^(2) * \left( (5)/(8) \right) =(45)/(512)`

……………………………

the probability of two heads and one tail in any order

`=3* \left( (3)/(8) \right)^(2) * \left( (5)/(8) \right) =(135)/(512)`