Question

A coin is tossed and a die is rolled. What is the probability that a tail was tossed and an even number was rolled?What is the probability that a head was tossed and a number larger than 4 was rolled?

Please Show Work! Thanks!

Answer 1

First problem: 1/4 chance

Second problem: 1/6 chance of happening

Explanation:

To find the probability we need to multiply the chance of each separate thing happening by each other in each example.

In the first example we have a 1/2 chance that a tail was tossed and 3/6 chance that an even number was rolled.

`(1)/(2) *(3)/(6) = (3)/(12) =(1)/(4)`

So in the first example we have 1/4 chance of happening or 0.25

Same thing with the second example:

`(1)/(2) *(2)/(6) = (2)/(12) =(1)/(6)`