Question

A trick coin is made such that when it is tossed there is a 20% chance of heads landing face up and an 80% chance of tails landing face up. If the coin is tossed twice, what is the probability that the coin will land with heads facing up both times?

Answer 1

P( heads on one toss) = 0.20

P ( 2 heads) = 0.20 * 0.20 = 0.04 or 4%

Answer 2

Answer: 4 %

Explanation:

According to the question,

20% chance of heads landing face up

Therefore, probability of getting a head,
`P(H) = (20)/(100) = (1)/(5)`

The probability of getting tail,
`P(T) = (80)/(100) = (4)/(5)`

Thus, the probability that the coin will land with heads facing up both times

=
`(1)/(5)* (1)/(5)`

=
`(1)/(25)`

= 0.04 or 4 %

Thus the required probability is 4 %.