Sample Space and Size
Independent and Dependent Events
Mutually Exclusive and Overlapping
100
Identify the sample size for the following:
An ice cream shop has the following flavors: vanilla, chocolate, strawberry, coffee, butter pecan, cheesecake, and cake batter
What is...
7
100
Use the two spinners to answer the following:
P(odd and B)
What is...
8/48 or 1/6
100
A basket contains three apples, three peaches, and four pears. You randomly select a piece of fruit.
P(apple or peach)
What is...
6/10 or 3/5
200
Identify the sample space and size for the following:
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone
What is...
Sample size: 8
Sample space: {gr, gs, ge, gd, pr, ps, pe, pd}
200
You flip a coin and roll a 6-sided die. Find the following:
P(Tails and a number less than 3)
What is...
2/12 or 1/6
200
You roll a six-sided die.
P(even or greater than 3)
What is...
4/6 or 2/3
300
Identify the sample size for the following:
A spinner can land on either red, blue, or green. You spin twice
What is...
9
300
You have a bag of candy 4 jolly ranchers, 5 airheads, 2 snickers, and 3 mini bags of m&ms. You select two candies without replacement.
P(m&m and airhead)
What is...
15/182
300
A small private school has 120 parent volunteers. 35 of them only chaperone the Homecoming dance, 40 only chaperone Prom, and 15 chaperone both. Fill in the venn diagram and answer the probability questions below.
P(chaperones both)
P(chaperones neither)
What is...
Homecoming:35 Prom:40 Both:15 Neither:30
P(chaperones both)=
15/120 or 1/8
P(chaperones neither)=
30/120 or 1/4
400
Identify the sample size for the following:
You go to an ice cream shop with your family. You can have vanilla, chocolate, or strawberry ice cream and no toppings or choose one topping between hot fudge, caramel, or sprinkles.
What is...
12
400
You have a bag of candy 4 jolly ranchers, 5 airheads, 2 snickers, and 3 mini bags of m&ms. You select two candies without replacement.
P(at least 1 jolly rancher)
What is...
92/182 or 46/91
400
This is an A-Level question and meant to be a bit challenging. My hint to you is list out your sample space.
You have four cards numbered 1-4 and a coin. You pull a card and flip a coin.
P( less than 3 or T )
What is..
6/8 or 3/4