Thread: Probability and CDF functions

A pair of fair dice is tossed 8 times. Find the probability that a sum of 7 or 11 occurs AT MOST three times.
What is the probability that the first toss is a 7, given the sum of 7 or 11 occurs at most three times in eight tosses?

Find the probability that a sum of 7 or 11 occurs AT MOST three times:::
Event A= P(A)= CDF[8,8/36],3 = 0.921039

What I'm not sure how to do is the second question. The first toss being a 7 has a probability of 6/36.

In the example in class, the question had an AT LEAST statement so the second question was answered this way: 6/36 x [1-CDF[Binomial Distribution[9,10/36],3]. Should I be using this?

The AT MOST is throwing me off.

Originally Posted by tadkins

A pair of fair dice is tossed 8 times. Find the probability that a sum of 7 or 11 occurs AT MOST three times.
What is the probability that the first toss is a 7, given the sum of 7 or 11 occurs at most three times in eight tosses?
Find the probability that a sum of 7 or 11 occurs AT MOST three times:::
Event A= P(A)= CDF[8,8/36],3 = 0.921039
What I'm not sure how to do is the second question. The first toss being a 7 has a probability of 6/36.
In the example in class, the question had an AT LEAST statement so the second question was answered this way: 6/36 x [1-CDF[Binomial Distribution[9,10/36],3]. Should I be using this?

This is a double posting.
Do not post the same question more that once.