When a dice is rolled then a coin is tossed what is the probability of getting a 5 then tails?

Answer 1

To find the probability of rolling a 5 on a die and then tossing tails on a coin, we first determine the individual probabilities. The probability of rolling a 5 on a standard six-sided die is ( \frac{1}{6} ), and the probability of tossing tails on a coin is ( \frac{1}{2} ). Since these two events are independent, we multiply their probabilities:

[ P(5 \text{ and tails}) = P(5) \times P(tails) = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}. ]

Thus, the probability of rolling a 5 and then tossing tails is ( \frac{1}{12} ).