Determine the sample space for the following experiment:
Choosing one of the four possible aces from a standard deck of cards.
Answer
{ace of clubs, ace of diamonds, ace of hearts, ace of spades}
Example 2
Determine the sample space for the following experiment:
Choosing a club from a standard deck of cards.
Answer
{ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K}
Example 3
Determine the sample space for the following experiment:
Flipping two coins at the same time.
Answer
{HT, TH, HH, TT}
Example 4
Write the set for the following event:
Rolling an odd number on a standard 6-sided die.
Answer
{1, 3, 5}
Example 5
Write the set for the following event:
Getting heads on a coin flip.
Answer
{heads}
Example 6
Write the set for the following event:
Getting exactly one head after flipping two coins.
Answer
{HT, TH}
Example 7
How many possible outcomes are there for the experiment of choosing rock, paper, or scissors at random?
Answer
3 possible outcomes
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?
Answer
There are 6 possible outcomes, and the sample space is {red, orange, yellow, green, blue, purple}. Or 7, if you want to give indigo and violet each their due.
Example 9
What is the probability of rolling a 5 with a fair die?
Answer
Example 10
What is the probability of rolling either 1 or 2 with a fair die?
Answer
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.
Answer
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.
Answer
Example 13
What is the probability of drawing a king at random from a deck of cards (with 2 jokers included)?
Answer
Example 14
What is the probability of landing at least one tail with two fair coin flips?
Answer
Example 15
What is the probability of landing exactly two heads with three fair coin flips?
