A coin is tossed and a dice is rolled. Find P(tails and greater than 5.)

Answer 1

Let's first find the probabilities of each event happening individually.

The probability that a fair coin lands on tails is 1/2 = 50%.

The probability that a fair die rolls greater than 5 (a 5 or a 6) is 2/6 = 1/3 ≈ 33%

To find the probability of both events occurring, we can simply multiply these two probabilities together.

(1/2) x (1/3) = (1/6)

So, P(tails and greater than 5) = 1/6 ≈ 17%