Math Help - Two Probability Questions

Question 1: What is the probability of rolling a pair of six sided dice five times and getting four 4's.

Question 2: If 10 eligible voters are randomly chosen what is the probability that at least four voters will vote for party A


My Answers:

#1
Rolling 1 four is 3/36 = 1/13.
Then I get lost on what comes next.

#2
I get all mixed up on to what should be the actual numbers that im multiplying on the denominator and numerator. I'm thinking the denominator should be (10,4).

In both cases I believe that you need to use the binomial distribution (probability of x successes in n trials).

Originally Posted by staceylynnxx

Question 1: What is the probability of rolling a pair of six sided dice five times and getting four 4's. .

This is simply binomial: