1. If you toss a coin twice, what is the probability that it will turn up heads both times?
Probability Event 1 = 1/2 ; Probability Event 2 = 1/2
Probability Event 1 & 2 = 1/2 x 1/2 = 1/4 = 0.25
2. If you roll two dice, what is the probability of rolling two sixes?
Probability Event 1 = 1/6 ; Probability Event 2 = 1/6
Probability Event 1 & 2 = 1/6 x 1/6 = 1/36 = 0.028
3. If you roll two dice, what is the probability of rolling two numbers that are the same?
Probability Event 1 = 1 (whatever happens a number will definitely be rolled)
Probability Event 2 = 1/6 (probability of it being the same as the first number)
Probability Event 1 & 2 = 1 x 1/6 = 1/6 = 0.167
4. A soccer player scores 80% of the penalty kicks that he takes. Based on this, what is probability that he will miss two in a row?
Probability Event 1 = 1  8/10 = 2/10
Probability Event 2 = 1  8/10 = 2/10
Probability Event 1 & 2 = 2/10 x 2/10 = 1/25 = 0.04
5. Sue and Kathy are two friends in a class of 26 students. The teacher randomly picks two students to help with a concert. What is the probability that both Sue and Kathy will be picked?
Probability Event 1 = 2/26 (On the first pick there are two chances out of 26 that one of them will be picked)
Probability Event 2 = 1/25 (1 has already been picked; only 25 left)
Probability Event 1 & 2 = 2/26 x 1/25 = 1/325 = 0.003
