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Which option results in the largest loss on a product?
Use the following table of the results when rolling two six-sided number cubes.
1, 1 |
1, 2 |
1, 3 |
1, 4 |
1, 5 |
1, 6 |
2, 1 |
2, 2 |
2, 3 |
2, 4 |
2, 5 |
2, 6 |
3, 1 |
3, 2 |
3, 3 |
3, 4 |
3, 5 |
3, 6 |
4, 1 |
4, 2 |
4, 3 |
4, 4 |
4, 5 |
4, 6 |
5, 1 |
5, 2 |
5, 3 |
5, 4 |
5, 5 |
5, 6 |
6, 1 |
6, 2 |
6, 3 |
6, 4 |
6, 5 |
6, 6 |
How many possible outcomes are there for the union of rolling a sum of 3 or a sum of 5?
Use the following table of the results when rolling two six-sided number cubes.
1, 1 |
1, 2 |
1, 3 |
1, 4 |
1, 5 |
1, 6 |
2, 1 |
2, 2 |
2, 3 |
2, 4 |
2, 5 |
2, 6 |
3, 1 |
3, 2 |
3, 3 |
3, 4 |
3, 5 |
3, 6 |
4, 1 |
4, 2 |
4, 3 |
4, 4 |
4, 5 |
4, 6 |
5, 1 |
5, 2 |
5, 3 |
5, 4 |
5, 5 |
5, 6 |
6, 1 |
6, 2 |
6, 3 |
6, 4 |
6, 5 |
6, 6 |
How many possible outcomes are there for the intersection of rolling a double and a multiple of 3?
Use the following table of the results when rolling two six-sided number cubes.
1, 1 |
1, 2 |
1, 3 |
1, 4 |
1, 5 |
1, 6 |
2, 1 |
2, 2 |
2, 3 |
2, 4 |
2, 5 |
2, 6 |
3, 1 |
3, 2 |
3, 3 |
3, 4 |
3, 5 |
3, 6 |
4, 1 |
4, 2 |
4, 3 |
4, 4 |
4, 5 |
4, 6 |
5, 1 |
5, 2 |
5, 3 |
5, 4 |
5, 5 |
5, 6 |
6, 1 |
6, 2 |
6, 3 |
6, 4 |
6, 5 |
6, 6 |
How many possible outcomes are there for the complement of rolling a 3 and a 5?
A deck of cards contains 40 cards divided into 4 colors: red, blue, green, and yellow. Each group has cards numbered 0–9. What is the probability of selecting an 8?
A deck of cards contains 40 cards divided into 4 colors: red, blue, green, and yellow. Each group has cards numbered 0–9. What is the probability of selecting an even or a red card?
A deck of cards contains 40 cards divided into 4 colors: red, blue, green, and yellow. Each group has cards numbered 0–9. What is the probability of selecting a blue card first, replacing the card, and selecting a 9?
A deck of cards contains 40 cards divided into 4 colors: red, blue, green, and yellow. Each group has cards numbered 0–9. What is the probability of NOT selecting a green card?
What is the expected value of an investment if the probability is \(\frac{1}{5}\) of losing \(\$1,000\), \(\frac{1}{4}\) of no gain, \(\frac{2}{5}\) of making $1,000, and \(\frac{3}{20}\) of making $2,000?
The table below shows the value of the prizes and the probability of winning a prize in a contest.
Prize |
$10 |
$100 |
$5,000 |
$50,000 |
Probability |
1 in 50 |
1 in 1,000 |
1 in 50,000 |
1 in 250,000 |
Calculate the expected value.
Which option results in the largest loss on a product?
A bag contains 10 red marbles, 8 black marbles, and 7 white marbles. What is the probability of selecting a black marble first and a red marble second with no replacement?
If a letter is chosen at random from the word SUBSTITUTE, what is the probability that the letter chosen is “S” or “T”?
A spinner contains numbers 1–20. What is the probability of spinning a multiple of 3 or a multiple of 5?
Which option results in the greatest gain on an investment?
In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the complement of even cards.
Which option is the greatest gain on a sale?
A bag contains 10 red marbles, 8 black marbles, and 7 white marbles. What is the probability of selecting a white marble twice in a row without replacement?
A bucket contains 4 bottles of apple juice, 6 bottles of orange juice, 5 bottles of grape juice, and 10 bottles of water. What is the probability of NOT selecting a bottle of water?
In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the union of the first 10 cards.
There are 60 students attending classes in town. There are 40 students in dance class and 30 students in art class. Find the number of students in either dance or art class.
There are 12 boys’ and 14 girls’ names in a hat. What is the probability of selecting a boy’s name twice in a row without replacement?
A club wants to meet once a week. The available times are Tuesday, Wednesday, and Thursday at 2:00 p.m., 3:00 p.m., and 4:00 p.m. How many outcomes are there for the sample space?
Which option results in the greatest gain on an investment?
Alex and Amir play soccer, Muhammad and David play tennis, and Ji-ho and Frank play both. Describe a union of the people who play soccer or tennis.
Students were surveyed on if they liked math, social studies, or science as a subject. Describe an intersection of the events.
A toy bin contains 12 yellow balls, 3 orange balls, and 5 white balls. What is the probability of selecting an orange or a white ball?
In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the intersection of an odd number and blue cards.
A jar contains 5 red marbles, 15 yellow marbles, 16 blue marbles, 5 purple marbles, and 9 green marbles. What is the probability of selecting a purple or green marble?
The table below shows the value of the prizes and the probability of winning a prize in a contest.
Prize |
$5 |
$100 |
$10,000 |
$100,000 |
Probability |
1 in 5 |
1 in 500 |
1 in 100,000 |
1 in 1,000,000 |
Calculate the expected value.
A family has three children. What is the probability that the family has three boys?
A 12-sided number cube is rolled in a game. What is the probability of rolling a 10 or greater on the first roll and a 1 on the second roll?
A cell phone company projects \(\frac{1}{2}\) of making $3 million, \(\frac{3}{10}\) of making $1 million, and \(\frac{1}{5}\) of losing $2 million. What is the expected value?
A life insurance policy has an annual premium of $600. In case of death, the insurance company will pay $500,000. The probability of dying is 0.0015. What is the expected value after one year?
Options for lunch are a ham, turkey, or chicken sandwich with chips or pretzels. Identify the sample space.
A pair of six-sided number cubes is rolled. What is the probability of NOT rolling a sum greater than or equal to 10?
In a board game, a player can continue his turn if he rolls a 5 or 6. Describe the complement of the event.
There is a group of 100 people, 68 of whom like hot drinks and 72 of whom like cold drinks. How many people like cold and hot drinks?
A spinner is labeled 1–10. What is the probability of landing on a multiple of 3?
The table below shows the value of the prizes and the probability of winning a prize in a state contest.
Prize |
$100 |
$1,000 |
$10,000 |
$100,000 |
Probability |
1 in 500 |
1 in 25,000 |
1 in 100,000 |
1 in 2,500,000 |
Calculate the expected value.