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Probability with Combined Events

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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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A Probability Worksheet    -    By HelpingWithMath.com

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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

 

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