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Probability and Statistics

Probability and Statistics

Outcomes and Events Exercises

Example 1

Determine the sample space for the following experiment:

Choosing one of the four possible aces from a standard deck of cards.

Example 2

Determine the sample space for the following experiment:

Choosing a club from a standard deck of cards.

Example 3

Determine the sample space for the following experiment:

Flipping two coins at the same time.

Example 4

Write the set for the following event:

Rolling an odd number on a standard 6-sided die.

Example 5

Write the set for the following event:

Getting heads on a coin flip.

Example 6

Write the set for the following event:

Getting exactly one head after flipping two coins.

Example 7

How many possible outcomes are there for the experiment of choosing rock, paper, or scissors at random?

Example 8

How many possible outcomes are there for the experiment of choosing a color of the rainbow at random? What is the sample space? 

Example 9

What is the probability of rolling a 5 with a fair die?

Example 10

What is the probability of rolling either 1 or 2 with a fair die?

Example 11

What is the probability of drawing the ace of spades at random from a deck of cards (no jokers)? The one in your sleeve doesn't count.

Example 12

What is the probability of drawing a king at random from a deck of cards (no jokers)? The one in your right pant leg doesn't count.

Example 13

What is the probability of drawing a king at random from a deck of cards (with jokers)?

Example 14

What is the probability of landing at least one tail with two fair coin flips?

Example 15

What is the probability of landing exactly two heads with three fair coin flips?

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