Sample Space and Sets
Independent/Dependent Events
Mutually Exclusive and Inclusive Events
Conditional Probability
Wild Card
100
What is the sample space if there are 4 red marbles, 3 green marbles, and 6 blue marbles?
{red, green, blue}
100
If 12% of students walk to school and 15% of students have a heavy backpack, what is the probability that a student walks to school and has a heavy backpack?
1.8%
100
If there are 12 yellow marbles, 7 blue marbles, and 6 red marbles in a bag, what is the probability of drawing a blue or a red marble?
13/25
100
A box contains 3 soccer balls and 1 baseball. What is the probability of drawing a soccer ball given your first draw was a soccer ball?
2/3
100
If Jacob flips a coin, which outcome, Head or Tails, has the greatest probability
They have the same probability.
200
In the Sample Set A = {2, 3, 4}, which is greater: the probability of getting a prime number or the probability of getting an odd number?
P(prime number)
200
If you roll a die and flip a coin, what is the probability that you will roll a 2 and get a heads?
1/12
200
If you randomly choose a card from a standard deck of cards, what is the probability that you choose a king or a queen?
8/52 or 2/13
200
Consider a bag with marbles, 7 blue marbles, 4 red marbles, and 9 green marbles. Three marbles are drawn in sequence and are taken without replacement. What is the probability of drawing a green marble given the first marble was red?
9/19
200
A student is to roll a die and flip a coin. How many possible outcomes will there be?
12
300
In the sample space of S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, what is the complement of subset A = {2, 4, 6, 8}?
{0, 1, 3, 5, 7, 9}
300
If a student were to roll a die and flip a coin, what is the probability that they would roll a 4?
2/12 or 1/6
300
You randomly choose a card from a standard deck of cards, what is the probability that you choose a jack or a spade?
16/52 or 4/13
300
Consider drawing two cards from a standard deck of shuffled cards. What is the probability that you draw a queen on your second draw given that your first draw was also a queen?
3/51
300
Suzanne has a bag filled with 5 green marbles, 7 red marbles, and 2 blue marbles. What is the probability that Suzanne will pick 2 red marbles in a row if she replaces the first marble before picking the second?
0.25
400
If the probability of an event, A, is P(A) = 0.34, what is the probability of the complement of A?
0.66
400
If you randomly draw a heart from a deck of cards and do not replace it, what is the probability that you will draw a heart the second time?
12/51
400
If 20% of students play soccer, 35% play basketball, and 10% plays both, what is the probability that a student plays soccer or basketball?
45%
400
If the probability of A and B is 0.15 and the probability of B is 0.75, what is the probability of A given B?
0.2
400
If an ice cream shop sells 3 kinds of ice cream, 5 kinds of sauces, and 20 kinds of toppings, how many different combinations of one of each is there?
300
500
What is the sample space for suits in a deck of cards?
{hearts, diamond, spades, clubs}
500
If Ashlee the probability that Ashlee draws a green marble is 8/19, what is the probability that she draws a green marble again if she does not replace the first?
7/18
500
Two students from every class are chosen to go on a field trip. If Cassie and Sam are in the same class of 32 students, what is the probability that they will both be chosen?
0.001 or 1/992
500
If the probability of B is 0.22 and the probability of A given B is 0.34, what is the probability of A and B?
0.0748
500
If you are playing "High Card, Low Card", in which two people each draw a card at random and whoever gets the highest card wins, and the other person draws an 8, what is the probability that you win? (FYI: Aces are considered a low card)
20/52 or 5/13
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