Total Outcomes
Given 6 toppings, the number of 3 topping pizzas you can order.
6C3 = 20
You are rolling a six-sided die and flipping a coin. The probability of rolling a prime and flipping a heads.
3/6 x 1/2 = 3/12 or 1/4
The probability of choosing a red or green jelly bean if you have 13 red, 12 green, 14 orange and 11 purple.
13/50 + 12/50 = 25/50 or 1/2
A bag of marbles contains 3 red, 4 blue and 1 green. The probability a blue marble is pulled, set aside, and a red marble is pulled.
4/8 x 3/7 = 12/56 or 3/14
The probability of choosing a heart or a queen from a standard 52 card deck.
13/52 + 4/52 - 1/52 = 16/52 = 4/13 = 0.308
You have a lock with a code of four letters. The number of codes you could have if letters can repeat.
26 x 26 x 26 x 26 = 456,976
You bought a box of assorted candy. There are 8 Snickers, 12 Kit Kats, 4 Milky Ways, 12 Peanut Butter Cups and 14 Hershey Bars. The probability of choosing (and eating) a Snickers, then a Peanut Butter Cup, then a Hershey bar.
8/50 x 12/49 x 14/48 = 2/175 = 0.0114
A spinner has six equal sections (red, blue, yellow, green, orange, and purple). The probability of spinning a primary color.
3/6 or 1/2
You draw two cards from a standard deck of 52 cards. The probability you choose a heart, replace it, then choose a seven.
13/52 x 4/52 = 1/52 = 0.01923
You have 25 ping pong balls numbered 1 through 25. The probability of choosing a multiple of 5 or a power of 2.
5/25 + 4/25 = 9/25 = 0.36
or
5/25 + 5/25 = 10/25 = 2/5 = 0.4
The number of ways to choose 2 side dishes from 8 without getting the same thing twice.
8 x 7 = 56
You have a bag of marbles with 18 blue, 13 red, 7 white and 22 yellow. The probability you choose a red, put it back, and a yellow.
13/60 x 22/60 = 143/1800 = 0.0794
A drawer contains 20 socks (8 blue, 4 green, 6 black and 2 white). The probability of picking a blue sock.
8/20 or 2/5
The probability of drawing two queens from a standard deck of 52 cards if you do not replace the first card.
4/52 x 3/51 = 1/221 = 0.00452
You have a bag of marbles. There are 18 yellow, 13 blue, 6 black, and 23 red. The probability of choosing a yellow or black.
18/60 + 6/60 = 24/60 = 2/5 = 0.4
If eight runners are in a race, the number of different ways for them to finish top three.
8P3 = 336
4/52 x 4/51 x 4/50 x 2/49 = 16/812,175 = 0.0000197
The probability of picking a red card or a face card.
26/52 + 12/52 - 6/52 = 32/52 or 8/13
With a standards 52 card deck, you draw an ace, replace it, shuffle the cards and get another ace.
4/52 x 4/52 = 1/169 = 0.00592
You spin a spinner with 12 equal size sections. The probability of spinning a factor of 12 or an even.
6/12 + 6/12 - 4/12 = 8/12 = 2/3 =0.667
A restaurant offers 3 sizes of pizza, two types of crust, two kinds of sauce, and 8 single toppings. The number of single topping pizzas you could order.
3 x 2 x 2 x 8 = 96
You have a bag of marbles with 18 blue, 13 red, 7 white and 22 yellow. The probability you choose a blue, don't put it back, then don't choose a red.
18/60 x 46/59 = 69/295 = 0.234
A family has two children. The probability they have a boy and a girl.
2/4 or 1/2
On Monday, the probability of rain is 35%. On Tuesday, the probability of snow is 70%. On Wednesday the probability it is sunny is 80%. Find P(Monday not rainy, Tues not snowy, and Wed sunny).
(0.65)(0.3)(0.8)=0.156
You are choosing a card from a standard 52 card deck. Probability of choosing a face card or a diamond or an even.
12/52 + 13/52 + 20/52 - 3/52 - 5/52 = 37/52 = 0.712
12 face cards (3 of which are diamonds)
13 diamonds
20 evens (5 of which are diamonds)