# Probability Flashcards

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49/198

1/26

156/2652 = 3/51 = 1/17

The probability of the first spade is 13/52.

The probability of drawing a second spade after not replacing the first is 12/51.

13/52 * (12/51) = 156/2652 = 3/51 = 1/17

{6, 12}

{2, 3, 4, 6, 8, 9, 10, 12}

120

1/5

2/3

1/10

30240

336

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## Flashcard Content Overview

This cards will give you practice problems on the principles of probability. In these flashcards, you'll encounter permutations and combinations, independent and dependent events, and review some basic ideas of set theory.

336

30240

1/10

2/3

1/5

120

{2, 3, 4, 6, 8, 9, 10, 12}

{6, 12}

156/2652 = 3/51 = 1/17

The probability of the first spade is 13/52.

The probability of drawing a second spade after not replacing the first is 12/51.

13/52 * (12/51) = 156/2652 = 3/51 = 1/17

1/26

49/198

1/6

1/2

2/13

The probability of a 10 is 4/52 or 1/13.

The probability of an ace is also 4/52 or 1/13.

These are mutually exclusive. Add these together and you get 2/13.

1/12

3/32

This is an example where you use the number of favorable outcomes over the total number of possible outcomes. Favorable outcomes for this event include

dice 1 : dice 2

1 : 6

2 : 5

3 : 4

4 : 3

5 : 2

6 : 1

So, there are 6 favorable outcomes.

There are 8 possible outcomes for dice 1 and 8 possible outcomes for dice 2. This gives us a total of 64 possible outcomes (8*8)

Favorable outcomes / Total outcomes = 6 / 64 = 3 / 32

91/216

First, we can calculate the probability of not rolling a six on any of the three dice. The probability of not rolling a six on one die is 5/6. So, the probability of not rolling a six on three dice is 5/6 * 5/6 * 5/6 or (5/6)^3 = 125/ 216.

Now, this is the probability of not rolling a six on any die. However, we want to know the probability of rolling a six on at least one of them. This is equal to 1 - (125/216) = 91/216

39/50

1/8000

*n*objects where

*r*are selected.

Permutation formula:

Multiply the probabilities together

*P*(

*A*U

*B*) if

*A*and

*B*are mutually exclusive?

*P*(*A* U *B*) = *P(*A*) + *P*(*B*)*

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Statistics 101: Principles of Statistics11 chapters | 144 lessons | 9 flashcard sets

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- Overview of Statistics Flashcards
- Summarizing Data Flashcards
- Tables and Plots Flashcards
- Probability Flashcards
- Continuous Probability Distributions Flashcards
- Regression & Correlation Flashcards
- Statistical Estimation Flashcards
- Hypothesis Testing in Statistics Flashcards
- Z-Scores & Standard Normal Curve Areas Statistical Table
- Critical Values of the t-Distribution Statistical Table
- Binomial Probabilities Statistical Tables
- Go to Studying for Statistics 101