Julie rolls two dice and adds the two numbers.
a. What is the probability that the sum will be divisible by 3?
b. If she rolls the dice 5 times what is the chance that she will get exactly 3 sums that
are divisible by 3?

Question

Julie rolls two dice and adds the two numbers.
a. What is the probability that the sum will be divisible by 3?
b. If she rolls the dice 5 times what is the chance that she will get exactly 3 sums that
are divisible by 3?

directrix · Answer

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directrix · Answer

A) In looking at the sample space chart for the outcomes of tossing a pair of dice, I counted 12 ways the sums can total a number divisible 3. There are 36 possible outcomes from tossing a dice pair: 6 * 6 = 36.

I would appreciate your checking the sample space for the possible outcomes.

P = favorable outcomes over possible outcomes = 12/36 = 1/3.

directrix · Answer

@Kavitha
How do you think we should start on the b) part of the question? Do we really need a sample space chart?

anonymous · Answer

this is a problem under binomial distribution. could u help me with that