Total Outcomes
There are 12 baseball players on the team. The number of ways the coach can put 9 players on the field.
12P9 = 79,833,600
You have 7 pair of pants, 8 shirts, two pair of shoes, and 5 sweatshirts. The number of different outfits you could have.
7 x 8 x 2 x 5 = 560 outfits
You have a bag of Skittles with 25 green, 32 red, 18 orange, 37 yellow and 20 purple. The probability of choosing a yellow or purple.
37/132 + 20/132 = 57/132 = 19/44 = 0.432
You are given a multiple choice quiz with four questions. Question 1 has 3 options, Question 2 has 4 options, Question 3 has 3 options and Question 4 has 4 options. The probability of guessing all four questions correct.
1/3 x 1/4 x 1/3 x 1/4 = 1/144 = 0.00694
The probability of not rolling a factor of 6 on a six-sided die.
2/6 or 1/3
You have a four letter code The number of codes you would have if letters can not repeat.
26 x 25 x 24 x 23 = 358,800
You have a spinner with eight equal sections numbered 1 through 8. Find the theoretical probability of spinning a factor of 8.
4/8 or 1/2
The probability of choosing a girl from a class if there are 18 boys and 12 girls.
12/30 or 2/5
Two six-sided dice are rolled and two coins are flipped. The probability of getting an even, then a 3, then a head and then a tails.
3/6 x 1/6 x 1/2 x 1/2 = 3/144 = 1/48 = 0.021
Picking a card from a standard 52 card deck, the probability of not choosing a face card or an ace.
1 - (12/52 + 4/52) = 1 - 16/52 = 36/52 = 9/13
The number of ways six students can present from a class of 14.
14P6 = 2,162,160
You have a spinner with eight equal sections numbered 1 through 8. Find the experimental probability of spinning a factor of 8.
Each number happened the following number of times:
1-14 2-18 3-11 4-4
5-20 6-17 7-9 8-7
43/100
The probability of drawing a card 4 through 8 from a standard deck of 52 cards.
20/52 or 5/13
A class has 14 boys and 16 girls. The probability of choosing a girl, then a boy, then a girl for a group presentation.
16/30 x 14/29 x 15/28 = 4/29 = 0.138
The probability of spinning a blue on a spinner is 0.63. The probability of not spinning a blue.
1 - 0.63 = 0.37
I have 20 photos. The number of groupings I can hang on the wall if I have room for 10.
20C10 = 184,756
You have ten classes you want to take next semester, but only have 7 open periods to take them. The number of schedules you could have next semester.
10P7 = 604,800
The probability of choosing a card from a standard deck of 52 that is a heart or 5 through 10.
13/52 + 24/52 - 6/52 = 31/52
You are given a multiple choice quiz with four questions. Question 1 has 3 options, Question 2 has 4 options, Question 3 has 3 options and Question 4 has 4 options. Find P(Question 1 correct, Question 2 wrong, Question 3 wrong, and Question 4 correct).
1/3 x 3/4 x 2/3 x 1/4 = 1/24 = 0.0417
The probability of not flipping a heads then a heads when you flip two coins.
1 - (1/2 x 1/2) = 1 - 1/4 = 3/4 = 0.75
There are seven clarinet players. The number of ways Lucy can be first chair and Drew can be second chair.
7 x 6 = 42
You have six types of shoes to choose from. There are 8 Nike, 6 Reebok, 2 Adidas, 10 Under Armor and 3 Vans. The theoretical and experimental probability of choosing a pair of Nike, then a pair of Vans.
Theoretical: 1/6 x 1/5 = 1/30
Experimental: 8/29 x 3/28 = 6/203 = 0.296
You have numbered 50 Bingo balls. The probability of choosing a multiple of 5 or a multiple of 7.
10/50 + 7/50 - 1/50 = 16/50 = 8/25 = 0.32
You have a bag of M&M's. There are 42 red, 36 orange, 15 yellow, 28 green, 17 blue and 12 brown. Find the probability of getting a two reds and two greens if you do not replace after picking each one.
42/150 x 41/149 x 28/148 x 27/147 = 369/137,825 = 0.00268
You have 75 numbered Bingo balls. The probability of not choosing a multiple of 5 or a multiple of 9.
1 - (15/75 + 8/75 - 1/75) = 1 - 22/75 = 53/75 = 0.707