Question

A coin is tossed and aa sixsix​-sided die numbered 1 through 66 is rolled. Find the probability of tossing a tailtail and then rolling a number greater than 11.

Answer 1

Answer: $\dfrac{5}{12}$

Step-by-step explanation:

Given : A coin is tossed and a six​-sided die numbered 1 through 6 is rolled.

Then the total number of possible outcomes :-

$2\times6=12$

The favorable outcomes of tossing a tail and then rolling a number greater than 1 = {(T,2), (T,3), (T, 4), (T,5), (T,6)}

Then , the probability of tossing a tail and then rolling a number greater than 1 is given by :-

$\dfrac{5}{12}$