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Solved Examples
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fff In Florida state, 51% of all teenagers own a skateboard, and 38% of all teenagers have a skateboard and roller-skates. Find the probability that a teenager has roller-skates given that he / she has a skate board.
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fff A math teacher gave her class two tests. 76% of the class passed the first test. 58% of the class passed both tests. Find the probability that a student who passed the second test, given that he passed the first test. fff View Solution
fff The table shows the population information of the percentage of male and female population in the U.S., in the year 2000, according to a census.

Under 18Over 18
Male26.873.2
Female24.675.4


Using the table find:P (Male | Under 18).
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fff The table shows the population information of the percentage of male and female population in the U.S., in the year 2000, according to a census.

Under 18 Over 18
Male26.873.2
Female24.675.4

Using the table find:
P (Female | over 18)
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fff The frequency table shows the school enrolment (in thousands) in the year 2000. Let C represents california.
Pre primaryElementary or high schoolCollege or graduate school
California110164722557
New Jersey3031444470

Use the table to find P(C).
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fff The frequency table shows the school enrolment (in thousands) in the year 2000.
Let E represents elementary school.
Pre PrimaryElementary or high schoolCollege or graduate school
California110164722557
New Jersey3031444470

Use the table to find P(E). fff
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fff The frequency table shows the school enrolment (in thousands) in the year 2000.
Let C represents california and G represents graduate school.
Pre PrimaryElementary or high schoolCollege or graduate school
California110164722557
New Jersey3031444470

Use the table to find P(C and G).
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fff The frequency table shows the school enrolment (in thousands) in the year 2000.
Let N represents New Jersey and R represents Pre primary school.
Pre PrimaryElementary or high schoolCollege or graduate school
California110164722557
New Jersey3031444470

Use the table to find P(R | N).
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fff The frequency table shows the school enrolment (in thousands) in the year 2000.
Let C represents California and G represents graduate school.
Pre PrimaryElementary or high schoolCollege or graduate school
California110164722557
New Jersey3031444470

Use the table to find the probability that a person is from California, given that he is in graduate school.
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fff The probabilities concerning the scoring of points in a game of tennis for a player, Venus, is shown in the tree diagram. Find the probability that Venus wins a point when she is serving. fff View Solution
fff The probabilities concerning the scoring of points in a game of tennis for a player, Venus, is shown in the tree diagram. Given that Venus wins a point while serving, what is the probability that she made her second serve? fff View Solution
fff The probabilities concerning the performance of students of grade 10 in a science test is shown in the tree diagram. Find the probability that a student passes with an A grade.
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fff The table shows the information about 120 employees being considered for a promotion. Find P (Employee has an advanced degree) fff View Solution
fff The table shows the information about 120 employees being considered for a promotion. Find P (Employee has training and advanced degree). fff View Solution
fff The table shows the information about 120 employees being considered for a promotion. Find the probability that the employee had training, given that he does not have an advance degree. fff View Solution
fff At a fast food restaurant, 75% of the customers order a burger, 68% of the customers order a burger and fries. What is the probability that a customer who order fries, given that the customer ordered a burger? fff View Solution
fff A weather station in a certain area gathers data about the chance of precipitation. It predicts that if it rains on a given day. 60% of the time it will rain on the next day. If it does not rain, it will rain on the next day 25% of the time. The weather forecast on Monday predicts the chance of rain 80%. Find the chance of rain on Tuesday using this pattern.
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fff The frequency table shows the results from a poll conducted about reading the newspaper in the morning.

AdultChild
Reads3517
Does not read1223


Use the data to find P (Reads Newspaper | child)
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fff The frequency table shows the results from a poll conducted about reading the newspaper in the morning.

AdultChild
Reads3517
Does not read1223


Use the data to find P (Does not read Newspaper | Adult). fff
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fff Suppose a die is rolled. Let M = the number is prime and O = the number is odd. Find P (M | O). fff View Solution
fff If A and B are independent events such that P (A) = 0.43 and P (B) = 0.56, then find P (A and B).
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fff If A and B are independent events such that P(A) = 0.43 and P(B) = 0.56, then find P(A | B). fff View Solution
fff If A and B are dependent events with P (A) = 0.43 and P (A and B) = 0.24, then find P (B | A).
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fff An urn contains 4 marbles numbered 1, 2, 3, 4 and another contains 5 marbles numbered 1, 2, 5, 7, 9. If one of the two urns is chosen at random and a marble is drawn at random from the chosen urn, find the chance that the marble bears the number 2. fff View Solution
fff An urn contains 4 marbles numbered 1, 2, 3, 4 and another contains 5 marbles numbered 1, 2, 5, 7, 9. If one of the two urns is chosen at random and a marble is drawn at random from the chosen urn, find the chance that the marble bears a prime number.
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fff An urn contains 4 marbles numbered 1,2,3,4 and another contains 5 marbles numbered 1, 2, 5, 7, 9. If one of the two urns is chosen at random and a marble is drawn at random from the chosen urn, find the chance that the marble is drawn from urn1, given that the number it bears is 1. fff View Solution