Question

(1 point) Find the probability of throwing a sum of 6 at least 9 times in 12 throws of a pair of fair dice. answer:

Answer #1

Answer: 0.000002836

Explanation:

Find the probability of throwing a sum of 8 at least 6 times in
9 throws
of a pair of fair dice. Keep at least four decimal places.

Find the probability of throwing a sum of 6 at least 2 times in
6 throws
of a pair of fair dice.

Find the probability of throwing a sum of 7 at least 9 times in
11 throws
of a pair of fair dice.

Find the probability of throwing a sum of 4 at least 4 times in
12 throws of a pair of fair dice.

Find the probability of throwing a sum of 5 at least 10 times in
12 throws
of a pair of fair dice.

Find the probability of throwing a sum of 10 at least 5 times in
10 throws
of a pair of fair dice.

Find the probability of throwing a sum of 10 at least 5 times in
10 throws
of a pair of fair dice.

We know that in throwing two fair dice independently, the sum of
the two outcomes will be 2, 3, …., 12 with respective probabilities
I/36, 1/18, 1/12, 1/9, 5/36, 1/6, 5/36, 1/9, 1/12, 1/18, and 1/36.
Simulate 1000 independent throws of a pair of independent fair
dice, and compare the observed proportion of 2s, ….., 12s with the
known probabilities, using an appropriate test from Law Chapter 6.
Use a random number function in Excel to generate the 1000 throws....

A pair of dice are thrown, what is the probability of throwing
at least one 2? What is the probability of throwing a total less
than or equal to 9?

A pair
of dice is rolled 20 times. What is the probability that a sum of 5
is rolled
a)
exactly 6 times
b) at
least 4 times

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