A coin is biased so that the probability of tails is 1/3. What is the probability of obtaining exactly two tails on five tosses of the coin ?

Thank you for the opportunity to help you with your question!

This is a binomial distribution with P(success) = 1/3 and n = 5

P(x =2) = 5C 2 (1/3)² (2/3)^3

= 5 x 4/ 2! (1/9) ( 8/27)

= 10 x 8/243

=80/243

= 0.329 approx to 3 decimal places

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up