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Probability Flashcards

Probability Flashcards
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Among 100 people, 12 have blonde hair, 50 have red hair, 28 have brown hair, and 10 have black hair. If two people are selected at random, what is the probability that both will have red hair?

49/198

Got it
I flip a coin and draw a card from a standard deck of 52 cards. What's the probability that I get heads on the coin and draw an ace?

1/26

Got it
If you draw two cards at random from a standard deck of 52 cards, what is the probability of drawing two spades?

156/2652 = 3/51

Got it
If set A = {2, 4, 6, 8, 10, 12} and set B = {3, 6, 9, 12}, find the intersection of A and B.

{6, 12}

Got it
If set A = {2, 4, 6, 8, 10, 12} and set B = {3, 6, 9, 12}, find the union of A and B.

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

Got it
Calculate the following:

120

Got it
If you rearrange the letters in the word BREAD, what is the probability that your rearranged word would start with a B?

1/5

Got it
What is the probability that the sum of two die will be less than seven given that the first die rolled was a two?

2/3

Got it
You're packing for vacation. You have 2 red shirts, 3 green shirts, 5 blue shirts, and 1 white shirt. If the first shirt you packed was red, what is the probability that the second shirt is red?

1/10

Got it
You want to read ten books. How many different ways can you select the first five books you read if the order in which you read them is important?

30240

Got it
A governing presidency is being formed from among 8 people. Three people will be in this presidency: a president, a vice president, and a secretary. How many ways can such a presidency be formed?

336

Got it
23 cards in set

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.

Front
Back
A governing presidency is being formed from among 8 people. Three people will be in this presidency: a president, a vice president, and a secretary. How many ways can such a presidency be formed?

336

You want to read ten books. How many different ways can you select the first five books you read if the order in which you read them is important?

30240

You're packing for vacation. You have 2 red shirts, 3 green shirts, 5 blue shirts, and 1 white shirt. If the first shirt you packed was red, what is the probability that the second shirt is red?

1/10

What is the probability that the sum of two die will be less than seven given that the first die rolled was a two?

2/3

If you rearrange the letters in the word BREAD, what is the probability that your rearranged word would start with a B?

1/5

Calculate the following:

120

If set A = {2, 4, 6, 8, 10, 12} and set B = {3, 6, 9, 12}, find the union of A and B.

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

If set A = {2, 4, 6, 8, 10, 12} and set B = {3, 6, 9, 12}, find the intersection of A and B.

{6, 12}

If you draw two cards at random from a standard deck of 52 cards, what is the probability of drawing two spades?

156/2652 = 3/51

I flip a coin and draw a card from a standard deck of 52 cards. What's the probability that I get heads on the coin and draw an ace?

1/26

Among 100 people, 12 have blonde hair, 50 have red hair, 28 have brown hair, and 10 have black hair. If two people are selected at random, what is the probability that both will have red hair?

49/198

If I roll a die and get a three, what is the probability of rolling a three the second time I roll the die?

1/6

A coin is flipped twice. What is the probability of getting one heads and one tails?

1/2

When drawing two cards from a standard deck of 52 cards, what is the probability of drawing a 10 or an ace?

2/13

When two dice are rolled, what is the probability of rolling a sum of 10?

1/12

On a d8, or 8-sided die, each side shows a number from 1-8. If you roll two d8s, what is the probability that the sum of the numbers will be 7?

3/32

Three dice are rolled. What is the probability that at least one of them shows a 6?

91/216

In a group of 100 women, 12 have blonde hair, 50 have red hair, 28 have brown hair, and 10 have black hair. If one person is selected, what is the probability she has red or brown hair?

39/50

On a d20, or 20-sided die, each side shows a number from 1-20. If I roll one three times in a row, what's the probability of rolling a 10 three times in a row?

1/8000

Give the formula to find a permutation of n objects where r are selected.

Permutation formula:

Formula for the probability of a single event
How to find the probability of compound events

Multiply the probabilities together

How do we find P(A U B) if A and B are mutually exclusive?

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

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