223k views
4 votes
(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three? Make sure your answer is reduced.

(PLEASE HELP) A red die is tossed and then a green die is tossed. What is the probability-example-1
User Southsouth
by
7.6k points

1 Answer

0 votes

Answer:

2/3

Explanation:

Well, it supplied the formula, so let's start from there.

P(A or B) = P(A) + P(B) - P(A and B)

Let A = the probability that the red die shows a number larger than three

Let B = the probability that the green die shows a number less than three

I'm assuming they both have 6 numbers on them, like a regular die.

So there are 3 possibilities that are larger than 3 (4, 5, and 6) and 6 total possibilities, so A = 3/6.

There are 2 possibilities that are less than 3 (1 and 2) and 6 total possibilities, so B = 2/6.

Plug that into the formula.

P(A or B) = 3/6 + 2/6 - P(A and B)

Now we have to subtract the probability that both A and B happen, which is 3/6 * 2/6 = 6/36 = 1/6.

P(A or B) = 3/6 + 2/6 - 1/6

P(A or B) = 4/6 = 2/3

User Vlad Morzhanov
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories