Question

Your little brother invented a game inwhich you need to flip a coin and roll a die.Find this probability:P(tails, # > 1)

Answer 1

There are two possible outcomes for flipping a coin: heads or tails. Then, there is a probability of 1/2 of flipping tails.

There are six possible outcomes for rolling a dice: 1, 2, 3, 4, 5 or 6. Then, there is a probability of 5/6 of rolling a number greater than 1.

The probability of flipping tails and rolling a number greater than 1 is the product of the probabilities of these two events happening independently:

`P(tails,#>1)=(1)/(2)*(5)/(6)=(5)/(12)`

Therefore, the answer is:

`(5)/(12)`