Math 110 Test questions and answers 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?
P(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?
C(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?
4512 Hands
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?
1584 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
3/36 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.)
6/36
A card is selected at random from a standard deck of playing cards. Compute
the probability that the card is a face card (jack, queen, or king). (Enter your
probability as a fraction.)
12/52
Two dice are rolled. Determine the probability of the following.
Rolling an even number or a number greater than 8
24/36
A single card is drawn from a standard deck. Find the probability of the
following event.
Drawing a king or a face card
12/52
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
32/52
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.)
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?
P(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?
C(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?
4512 Hands
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?
1584 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
3/36 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.)
6/36
A card is selected at random from a standard deck of playing cards. Compute
the probability that the card is a face card (jack, queen, or king). (Enter your
probability as a fraction.)
12/52
Two dice are rolled. Determine the probability of the following.
Rolling an even number or a number greater than 8
24/36
A single card is drawn from a standard deck. Find the probability of the
following event.
Drawing a king or a face card
12/52
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
32/52
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.)
