# Combined Events: Probability Worksheet

## Grades K-8 Worksheets

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 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

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Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Investigate chance processes and develop, use, and evaluate probability models