Probability with a Deck of Cards
Probability with Dice
Miscellaneous
100
What is the probability of drawing a 2?
P(2)= ____
4/52 or 1/13
100
What is the probability of rolling two die and one of the numbers you roll is a multiple of 2?
P(multiple of 2)= _____
27/36
100
The probability of getting a "6" on a biased die is 1/3. What is the probability of not getting a "6"?
2/3
200
What is the probability of drawing a club or a diamond face card?
P(club or diamond face card)= _____
13/52 + 3/52
= 16/52
200
You roll 2 dice. What is the probability that you roll a 3 on your first roll and a 7 on your second?
P(3 and 7)= _____
0
200
In a bag of 8 marbles, 3 yellow and 5 green
P(yellow marble)=
3/8
300
What is the probability of drawing a 4 or 7?
P(4 or 7)= _____
= 8/52
= 2/13
300
What is the probability of rolling two dice with a sum of 8?
P(sum of 8)= _____
5/36
300
In a bag of marbles with 3 green and 5 yellow marbles, what is the probability of picking a red marble?
0
400
What is the probability of drawing a spade or a 4
P(Spade or 4)= _____
(Write your answer as a simplified fraction)
13/52 + 4/52 - 1/52
= 16/52
= 1/13
400
An experiment consists of tossing a coin then rolling a die. Find the probability that the coin lands heads up or the number is five.
P(Heads or 5)
- There are six ways the coin can land heads up, {H1, H2, H3, H4, H5, H6}.
- There are two ways the die can land on five, {H5, T5}.
- There is one way for the coin to land heads up and the die to land on five, {H5}.
P(heads or five)=P(heads)+P(five)−P(both heads and five)
=6/12+2/12−1/12=712
400
What is the probability that you choose 6 or red?
1/8 + 3/8 = 4/8
or 1/2
500
What is the probability I draw a heart card or a face card?
(Write your answer as simplified fraction)
13/52 + 12/52 -3/52
= 22/52
= 11/26
500
I roll two dice. Given I know that I got an even number on the first dice, what is the probability I rolled a sum of 7 or higher with both?
Write your answer as a simplified fraction.
= 12/36
simplified fraction = 1/3
500
What is the probability that the number is a multiple of 3 or not white?
Factor of 3 = 2/8
Not white = 5/8
Factor of 3 and not white = 2/8
2/8 + 5/8 - 2/8 = 5/8