Question

A bent coin has probability 0.55 of landing heads up. What is the probability that two tosses of the coin will both result in heads?

Use four decimal places in your answer.

Answer 1

0.3025

Explanation:

Given:

The probability of landing heads P(h) = 0.55

The probability of landing heads when the coin is tossed again is 0.55 as both the events are independent and we are given the probability of heads P(h) = 0.55

So,

The probability of getting 2 heads in a row=0.55*0.55

=0.3025

Answer 2

Required probability is 0.3025.

Explanation:

Given that probability of landing heads up in a toss of bent coin = 0.55

Then probability of getting head in 1st toss = 0.55

2nd toss is independent of the first toss.

Then probability of getting head in 2nd toss = 0.55

Hence probability of getting head in two tosses of the coin = (0.55)(0.55) =0.3025

Hence required probability is 0.3025.