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A coin is tossed and a die is rolled. Find the probability that the die shows a composite number and the coin shows a tail.

A coin is tossed and a die is rolled. Find the probability that the die shows a composite number and the coin shows a tail. Correct Answer None of the above

Given:

A coin is tossed and a die is rolled.

Formula Used:

Probability = favourable terms/sample space

Calculation:

Let H be the head and T be the tail of the coin.

The sample space S of the experiment described in question is as follows

⇒ S = {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)}

Let ‘E’ be the event “that die shows a composite number and the coin shows a tail ".

Event E may be described as follows

⇒ E = {(4, T), (6, T)}

∴ required probability P(E) = n(E)/n(S) = 2/12 = 1/6

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