Basic Probability (one thing)
Basic Probability 2
Probability 3
Back-to-Back Events
100

When flipping a coin 2 times in a row and then rolling one die, how many possible outcomes are there in the sample space?

2 x 2 x 6 = 24

100
A spinner is numbered 1-100. The probability that a number less than 10 is spun.

9/100 = 0.09 = 9%

100

If 2 coins are tossed what is the probability that you land 2 tails?

1/4 

100

You are drawing two cards from a standard deck. Find the probability that you draw a king first and then you draw a face card second. 

4/52 x 11/51 = 11/663

200

In a bag of marbles, there are 7 blue marbles, 5 green marbles, 6 yellow marbles, and 3 red marbles. When you randomly pick up one marble, what is the probability of picking up a blue or yellow marble?

13/21

200

A bag of marbles has 3 red, 4 blue and 5 green. The probability of getting a red or green.

8/12 = 4/6 = 2/3

200

A 6-sided die is rolled, what is the probability of rolling a 6 or 1?

2/6 = 1/3

200

You are drawing two cards from a standard deck and you are putting the card back in the deck after each draw. Find the probability that you draw a red card first and then draw a 7.

26/52 x 4/52 = 1/26

300

When drawing one card from a deck of cards, what is the probability of drawing a king or a red card?

4/52 + 26/52 - 2/52 = 28/52 = 7/13

300

A twenty-sided dice is rolled. The probability of getting an even number.

10/20 = 1/2

300

The probability that a basketball player scores from the free-throw line is 0.3. What is the probability that the player scores from both free-throws?

0.3 x 0.3 = 0.09

300

You are rolling a die and flipping a coin in sequence. Find the probability that you first flip heads, then roll a 4, and then lastly roll an even number. 

1/2 x 1/6 x 3/6 = 1/24

400

When rolling two dice together, what is the probability of rolling a sum of 4?

3/36 = 1/12

400

A team of 15 basketball players have to randomly choose a team captain. The probability that the captain is "Greg".

1/15

400

A die is rolled twice, what is the probability that you roll at least 1 six?

P(only 1 six) = 1/6 x 5/6 + 5/6 x 1/6 = 10/36

P(2 sixes) = 1/6 x 1/6 = 1/36

P(at least 1 six) = 11/36

400

The likelihood of it raining on a random Fall day is 27%. Find the probability that it rains three days in a row. 

.27 x .27 x .27 = 0.0197

(about a 2% chance)

500

When drawing one card from a deck of cards, what is the probability of drawing an even numbered card?

20/52 = 5/13

500
When drawing a card from a deck of cards, the probability of getting a picture card (Jack, Queen, King).

12/52 = 3/13

500

Bella buys 5 tickets in a raffle. 100 tickets are sold and there are 2 prizes. What is the probability that Bella wins both prizes?

P(first prize AND second prize) = 5/100 x 4/99

 = 1/495

500

There is a cooler full of drinks. In this cooler, there are 10 orange flavored drinks, 8 grape flavored drinks, and 12 lemon flavored drinks. Find the probability that the next 3 people who grab a drink all grab grape flavored drinks. 

8/30 x 7/29 x 6/28 = 2/145

(or 0.01379 so about a 1% chance)