Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Two dice are rolled. Find the probability of the following event.
The first die is 5 or the sum is 6.

Sagot :

Answer:   5/18

=============================================

Explanation:

A = number of times we get 5 on the first die

B = number of times we get a sum of 6.

Refer to the sum of dice chart below. This chart represents every possible sum of two dice (eg: 1+1 = 2 in the top left corner or 6+6 = 12 in the bottom right corner).

Let's say the blue die is the first of the pair.

Locate 5 on the blue die and notice there are 6 occurrences when this happens. This corresponds to the 6 other possibilities for the red die. So we have A = 6.

Also notice how there are 5 occurrences of the sum "6" in the table. So B = 5.

We have A+B = 6+5 = 11 occurrences of either the first die is 5 or the sum is 6. However, we have to subtract off 1 because we double counted "6" when adding A and B.

So in reality we have 11-1 = 10 times this happens.

This is out of 36 total ways to roll two dice.

Therefore, the probability we want is 10/36 = 5/18

View image jimthompson5910
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.