Deck of Cards
What is the probability of drawing King from a standard deck of cards?
4/52 = 1/13
When you roll a set of dice, what is the probability of rolling a sum greater than 12?
0/36 = 0
You have a bag of marbles there are 7 green, 4 yellow, 2 pink, 3 orange and 9 blue.
What is the probability of picking a green marble and then a red marble? You will replace the marble after your first pick.
7/25 x 0/25 = 0
You have a bag of marbles there are 7 green, 4 yellow, 2 pink, 3 orange and 9 blue.
What is the probability of picking a yellow marble and then a blue marble? You will NOT replace the marble after your first pick.
4/25 x 9/24 = 36/600 = 3/50
What is the probability of rolling a 4 on a fair die?
1/6
What is the probability of drawing a King of hearts, putting it back and then drawing a 4 of clubs?
1/52 x 1/52 = 1/2704
When you roll a set of dice, what is the probability of rolling the sum of a prime number?
15/36 = 5/12
(Prime numbers are 2, 3, 5, 7 and 11)
You have a bag of marbles there are 7 green, 4 yellow, 2 pink, 3 orange and 9 blue.
What is the probability of drawing a yellow marble then a orange marble? You will replace the marble after each draw.
4/25 x 3/25 = 12/625
You have a bag with 26 tiles, each tile has a different letter of the alphabet. You will draw two tiles and keep each tile. What is the probability you pick the letter J then the letter Q?
1/26 x 1/25 = 1/650
On a multiple choice test, what is the probability you pick the correct answer and then change to the wrong answer?
1/4 x 3/4 = 3/16
You will draw two cards, after you select the first one you will NOT put it back
P(Face card then 3 of diamonds) =
12/52 x 1/51 = 12/2652 = 1/221
When you roll a set of dice:
P(sum is not 10) =
33/36 = 11/12
You have a bag with 26 tiles, each tile has a different letter of the alphabet. You will draw two tiles and put the tile back after your first draw.
P(vowel then Z)
5/26 x 1/26 = 5/676
You have a party box of Takis, there are 25 bags of blue Takis, 30 bags of red Takis and 15 bags of cheesy Takis. You and a friend are going to each pick a bag at random. After you pick, you are going to eat and enjoy your snack :)
P(Both red bags) =
30/70 x 29/69 = 870/4830 = 26/161
In a standard deck of cards:
P(drawing a card with a number less than 6. Ace is low) =
5/52 + 5/52 + 5/52 + 5/52 = 20/52 = 5/13
You will draw two cards, after you select the first one you will NOT put it back
P(both 3) =
4/52 x 3/51 = 12/2652 = 1/221
When you roll a set of dice:
P(factor of 8) =
9/36 = 1/4
(2, 4, 8)
You have a bag with 26 tiles, each tile has a different letter of the alphabet. You will draw two tiles and put the tile back after your first draw.
P(consonant then J, L, M, N, O or P)
21/26 x 6/26 = 126/676 = 63/338
You have a bag with 26 tiles, each tile has a different letter of the alphabet. You will draw two tiles and keep the tile back after your first draw.
P(vowel then Q, R, S, or T) =
5/26 x 4/25 = 20/650 = 2/65
You have a bag of marbles there are 7 green, 4 yellow, 2 pink, 3 orange and 9 blue. After your first pick, you will keep the marble.
P(not green and not red) =
18/25 x 24/24 = 432/600 = 18/25
You will draw two cards, after you select the first one you will NOT put it back
P(5 of hearts or a 4 of diamonds and then a 3 of clubs or a Face card) =
2/52 x 13/51 = 26/2652 = 1/102
When you roll a set of dice:
P(sum is a factor of 4 or sum is a factor of 12)
Factors of 4: {2, 4, 4, 4}
Factors of 12: {2, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 12}
Have to cross out one set of numbers that overlap {2, 4, 4, 4, 4}
P(sum is a factor of 4 or sum is a factor of 12) = 12/36 = 1/3
You pick three cards from a standard deck. After each pick you put the card back.
P(King then Queen then Jack) =
4/52 x 4/52 x 4/52 = 64/140608 = 1/8788
You pick three cards from a standard deck. After each pick you keep the card .
P(King then King then Queen) =
4/52 x 3/51 x 4/50 = 48/132600 = 0.000361991
You have a bag of marbles there are 7 green, 4 yellow, 2 pink, 3 orange and 9 blue.
You are going to pick 2 cards from a standard deck and 2 marbles from the bag. Each time you will keep what you draw.
P(4 of heart then 3 of diamonds then not pink then blue) =
1/52 x 1/51 x 23/25 x 9/24 = 207/1591200 = 23/176800