Question

Find the probability of throwing a sum of 7 at least 9 times in
11 throws

of a pair of fair dice.

Answer #1

As we know that on throwing a pair of dice together then we will get total 36 outcomes

so we have to find the probability of getting sum of numbers on dices equal to 7

possible outcomes ={ (1,6),(6,1),(5,2),(2,5),(3,4),(4,3)}

Hence total number of possible outcomes =x=6

now

P(getting sum of 7 in single throw of pair of fair dice ) =p=6/36 =1/6

now let X is number of times we get sum equal to 7 when we throw a pair of dice 11 times

Hence X~ Bin (11,1/6) so

now we have to find P(X>9)

now

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 4 at least 4 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.

Find the probability of throwing a sum of 5 at least 10 times in
12 throws
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(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:

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?

You roll a pair of fair dice 20 times. Each time, the sum of the
two dice values is recorded. What is the probability that you will
roll an 7 (the sum of the two dice values = 7) at least (5) times?
Assuming that each roll of the dice is independent

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....

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