What does this symbol mean: ∪
Example: A ∪ B
Union
What is the probability of rolling a 4 with a 6 sided die?
1/6
0.1667
16.67%
A coin is tossed. What is the probability of flipping heads two times in a row?
1/4
0.25
25%
What value goes in the space labeled "C"?
16 + 48 = 64
Josh has a bag containing pieces of candy. The bag contains 10 red circular pieces, 10 red square pieces, 10 blue triangular pieces, and 10 blue star-shaped pieces. He draws a red piece of candy from the bag.
What is the complement of this event?
a) he draws a blue piece
b) he draws a square piece
c) he draws a circular piece
d) he draws a star-shaped piece
a) he draws a blue piece
What does this symbol mean: ∩
Example: A ∩ B
Intersection
What is the probability of drawing the queen of hearts from a deck of cards?
1/52
0.019
1.9%
1/12
0.083
8.3%
What value goes in the space labeled "A"?
136 - 50 = 86
A survey was conducted to determine whether a group of 11th graders and 12th graders preferred to go to the amusement park or to the zoo for a class trip.
Based on the table, what is the probability that a student preferred a class trip to the zoo given they are in 11th grade?
18/50 or 9/25
0.36
36%
A = {1, 2, 5}
B = {1, 7, 8, 9}
What is A ∪ B?
{1, 2, 5, 7, 8, 9}
What is the probability of drawing a 5 or 6 from a deck of cards?
8/52 or 2/13
0.154
15.4%
A bag contains 3 red, 5 blue, 6 green, and 6 yellow marbles. What is the probability of drawing a blue marble then red marble if the marbles are put back each time.
5/20 x 3/20 = 15/400 or 3/80
0.0375
3.75%
What is the probability that someone in class A passed the test?
19/22
0.863
86.3%
An online retailer conducts a random survey of its customers. The survey shows that 80% of customers receive their purchase within four days, and 95% of those customers are satisfied with their purchase.
What percent of all customers receive their purchases within four days and are not satisfied with their purchase.
0.05 x 0.8 = 0.04 or 4%
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 7, 9,..}
What is A ∩ B?
Intersection of the two sets
{1, 3, 5}
A bag contains 3 red, 5 blue, 6 green, and 6 yellow marbles. What is the probability of drawing a blue marble?
5/20 or 1/4
0.25
25%
A bag contains 3 red, 5 blue, 6 green, and 6 yellow marbles. What is the probability of drawing a yellow marble then blue marble if the marbles are NOT put back each time.
6/20 x 5/19 = 30/380 or 3/38
0.0789
7.89%
What is the P(in class A or Passed)
total students = 80
67/80
0.8375
83.75%
A baby born in 2011 is randomly selected.
What is the probability that the baby was born in February?
299/3966
U = {1, 2, 3, 6, 8, 11, 14}
A = {1, 3, 11}
What is the complement of A?
A' = {2, 6, 8, 14}
(All the numbers in U but not A}
A bag contains 3 red, 5 blue, 6 green, and 6 yellow marbles. What is the probability of drawing a blue or red marble?
8/20 or 2/5
0.4
40%
A coin is flipped 5 times. What is the probability of getting heads each time?
1/2 \times1/2\times 1/2 \times1/2\times 1/2 = 1/32
=0.03125
=3.125%
What is the P(Did not Pass | Class C)
5/26
0.192
19.2%
5/20 or 1/4