# Math Help - Probability with Dice

1. ## Probability with Dice

A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

This one I am not too sure how to go about this.

Would someone try to give me hints or walk me through it?

Thanks.

2. Originally Posted by Sakurazaki
A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

This one I am not too sure how to go about this.

Would someone try to give me hints or walk me through it?

Thanks.

Read, or google, about "Bernoulli formula" in "binomial distribution": the probability is given by $\left(\begin{array}{c}14\\2 \end{array}\right) \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right)^{12}$

Tonio

3. Originally Posted by Sakurazaki
A fair die is thrown 14 times. What is the probability of getting point 1 on exactly 2 of the 14 throws?

This one I am not too sure how to go about this.

Would someone try to give me hints or walk me through it?

Thanks.
Let X be the random variable number of 1's thrown.

X ~ Binomial(n = 14, p = 1/6)

Calculate Pr(X = 2).

4. Ok I got the answer. Thanks for your help.