Question

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads?

Answer 1

Hello!

To find this probability, we add the two probabilities we are given.

First of all, we have the probability of rolling a 2.


`image`=
`(3)/(6)`

And the probability of getting heads as seen above.

Now we add our two fractions.


`(2)/(6)((3)/(6))=(5)/(6)`

Therefore, our probability is 5/6, or about 83%.

I hope this helps!

Answer 2

The probability of rolling a 2 (1 number) in a 6 sided die = 1/6
A coin has two sides, and so the probability of getting a heads = 1/2


Add the two fractions together

(1/6) + (1/2)

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

2/12 + 6/12 = 8/12

Simplify 8/12

(8/12)/(4/4) = 2/3

The probability of rolling a 2 and getting heads is 2/3

hope this helps