MATH 110 EXAM QUESTIONS WITH
COMPLETE SOLUTION 2025
The board of directors of a corporation must select a president, a secretary, and a
treasurer. In how many possible ways can this be accomplished if there are 19
members on the board of directors? - ANSWERSP(19, 3)
A committee of 6 people is chosen from 9 women and 9 men. How many different
committees are possible that consist of 3 women and 3 men? - ANSWERSC(9,3) X
C(9,3)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are
randomly chosen from the deck.How many hands contain exactly 3 jacks? -
ANSWERS4512 Hands
Two dice are rolled. Determine the probability of the following.
Rolling an even number or a number greater than 8 - ANSWERS24/36
A single card is drawn from a standard deck. Find the probability of the following event.
Drawing a king or a face card - ANSWERS12/52
A single card is drawn from a standard deck. Find the probability of the following event.
(Enter your probability as a fraction.)
Drawing a black card or a face card - ANSWERS32/52
A pair of dice is rolled 3 times. What is the probability that a sum of 6 on the 2 dice will
occur at least once? (Round your answer to three decimal places.) - ANSWERS0.361
This exercise refers to a standard deck of playing cards. Assume that 5 cards are
randomly chosen from the deck. How many hands contain exactly two 7s and two 9s? -
ANSWERS1584 Hands
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips
on the upward faces of the 2 dice is the following. (Enter your probability as a fraction.)
At least 11 - ANSWERS3/36 Equals 1/12
If two dice are rolled, compute the probability of rolling doubles (both dice show the
same number of pips). (Enter the probability as a fraction.) - ANSWERS6/36
COMPLETE SOLUTION 2025
The board of directors of a corporation must select a president, a secretary, and a
treasurer. In how many possible ways can this be accomplished if there are 19
members on the board of directors? - ANSWERSP(19, 3)
A committee of 6 people is chosen from 9 women and 9 men. How many different
committees are possible that consist of 3 women and 3 men? - ANSWERSC(9,3) X
C(9,3)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are
randomly chosen from the deck.How many hands contain exactly 3 jacks? -
ANSWERS4512 Hands
Two dice are rolled. Determine the probability of the following.
Rolling an even number or a number greater than 8 - ANSWERS24/36
A single card is drawn from a standard deck. Find the probability of the following event.
Drawing a king or a face card - ANSWERS12/52
A single card is drawn from a standard deck. Find the probability of the following event.
(Enter your probability as a fraction.)
Drawing a black card or a face card - ANSWERS32/52
A pair of dice is rolled 3 times. What is the probability that a sum of 6 on the 2 dice will
occur at least once? (Round your answer to three decimal places.) - ANSWERS0.361
This exercise refers to a standard deck of playing cards. Assume that 5 cards are
randomly chosen from the deck. How many hands contain exactly two 7s and two 9s? -
ANSWERS1584 Hands
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips
on the upward faces of the 2 dice is the following. (Enter your probability as a fraction.)
At least 11 - ANSWERS3/36 Equals 1/12
If two dice are rolled, compute the probability of rolling doubles (both dice show the
same number of pips). (Enter the probability as a fraction.) - ANSWERS6/36
