Probability with tables
What is the probability that a randomly selected students is a boy who received a C?
11/82
U and V are mutually exclusive events. P(U) = 0.28; P(V) = 0.49. Find
a. P(U and V)
b. P(U|V)
c. P(U or V)
P(U and V) = 0
b. P(U|V) =0
c. P(U or V) =.77
Jeff decides to perform a magic trick for you with a deck of 52 cards. He claims that he can draw three cards at random and have them all be number 7 cards. Calculate the probability that when he draws 3 cards, all three of them are 7’s
4/52*3/51*2/50
4/52*3/51=12/2652=.005
There is a bag of marbles with 7 red, 3 blue, 4 green, and 6 yellow. Find P{red or yellow}
13/20
What is the probability that a randomly selected student did not receive a B?
37/82
P(A)=.15
P(B)=.75
P(A and B)=.10
P(B|A)=?
.6667
You have a deck of cards:
What is the probability of picking a king, not replacing , and then picking an Ace?
4/52*4/51=16/2652=.006
From a regular deck of cards, what is P{even number or ace}
24/52 or 6/13
Probability of selecting a girl given the student received an A?
7/20
J and K are independent events. P(J | K) = 0.49. Find P(J)
P(J)=.49
You are rolling two dice. Find the probability of getting at least a sum of 11.
3/36
When rolling two dice, find the probability of getting a sum of 1 or 7 or 12
8/36 or 2/9
Probability of a girl given the student got a C?
6/17
In a large population, 67 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
.9640
A basketball player has a 50% chance of making each free throw. What is the probability that the player misses all ten free throws?
.5^10
Using the spinner what is the probability of landing on black or 2?
(1/6)+(2/6)
Probability of a boy and got a C? P(Boy and C)
11/82
Carlos plays college soccer. He makes a goal 65% of the time he shoots. Carlos is going to attempt two goals in a row in the next game. A = the event Carlos is successful on his first attempt. P(A) = 0.65. B = the event Carlos is successful on his second attempt. P(B) = 0.65. Carlos tends to shoot in streaks. The probability that he makes the second goal GIVEN that he made the first goal is 0.90.
Are A and B independent?
No, they are not, because P(B AND A) = 0.585.
P(B)P(A) = (0.65)(0.65) = 0.423
0.423 ≠ 0.585 = P(B AND A)
So, P(B AND A) is not equal to P(B)P(A).
What is the probability that I will get either AA 0r KA?
.005+.006=.011
On the spinner , what is P{green or blue}?
2/6