Question

2. A yellow fair 6-sided dice and a purple fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given at least one of the dice shows a 3? b) What is the probability of the sum of the dice is less than 6, given the purple dice rolled a number less than 4?

          2. A yellow fair 6-sided dice and a purple fair 6-sided dice are rolled at the same time.
a) What is the probability of the sum of the dice equals 7, given at least one of the dice shows a 3?
b) What is the probability of the sum of the dice is less than 6, given the purple dice rolled a number less than 4?

2. A yellow fair 6-sided dice and a purple fair 6-sided dice are rolled at the same time.
a) What is the probability of the sum of the dice equals 7, given at least one of the dice shows a 3?
b) What is the probability of the sum of the dice is less than 6, given the purple dice rolled a number less than 4?

Added by Sergio R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Rylie Howey

03/31/2022

Step 1

The only way for the sum to be 7 in this case is if one dice shows a 3 and the other shows a 4. The probability of rolling a 4 on a fair 6-sided dice is 1/6. Show more…

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2. A yellow fair 6-sided dice and a purple fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given at least one of the dice shows a 3? b) What is the probability of the sum of the dice is less than 6, given the purple dice rolled a number less than 4?