1.
A bag contains 4 blue marbles, 6 red marbles, 10 yellow marbles and 6 green marbles. What is the probability of not drawing a red marble?
Correct Answer
D. 10/13
Explanation
The probability of not drawing a red marble can be calculated by finding the ratio of the number of marbles that are not red to the total number of marbles. In this case, there are 4 blue marbles, 10 yellow marbles, and 6 green marbles, which adds up to a total of 20 marbles that are not red. The total number of marbles in the bag is 4 blue + 6 red + 10 yellow + 6 green = 26 marbles. Therefore, the probability of not drawing a red marble is 20/26, which simplifies to 10/13.
2.
Use the diagram below to determine if the following statement is true or false.
The probability of someone liking neither horses nor cows is 4/25.
Correct Answer
B. False
Explanation
Looking at the diagram, we can see that the probability of someone liking neither horses nor cows is represented by the area outside the circles for horses and cows. The area outside the circles is much larger than 4/25, indicating that the probability of someone liking neither horses nor cows is greater than 4/25. Therefore, the statement is false.
3.
Determine the probability of spinning a green on the following spinner:
Correct Answer
C. 1/4
Explanation
The probability of spinning a green on the spinner can be determined by looking at the fraction 1/4. This means that out of the total possible outcomes, there is 1 outcome that results in spinning a green. Since there are 4 possible outcomes in total, the probability of spinning a green is 1/4.
4.
There are 20 marbles in a bag, 4 blue, 4 green, 4 red, 4 white and 4 black. Remember that all fraction answers should be given in the simplest form.
What is the probability of drawing a blue marble?
Correct Answer
D. 1/5
Explanation
The probability of drawing a blue marble can be calculated by dividing the number of blue marbles (4) by the total number of marbles (20). Therefore, the probability is 4/20, which can be simplified to 1/5.
5.
There are 20 marbles in a bag, 4 blue, 4 green, 4 red, 4 white and 4 black. Remember that all fraction answers should be given in the simplest form.
What is the probability of drawing a black or white marble?
Correct Answer
D. 2/5
Explanation
The probability of drawing a black or white marble can be calculated by adding the number of black marbles (4) and the number of white marbles (4), and then dividing it by the total number of marbles (20). This gives us a probability of 8/20, which can be simplified to 2/5.
6.
If you have a standard deck of cards (52 cards) what is the probability of drawing the Queen of Hearts?
Correct Answer
D. 1/52
Explanation
The probability of drawing the Queen of Hearts from a standard deck of cards is 1 out of 52. This is because there is only one Queen of Hearts in the deck, and there are a total of 52 cards. Therefore, the chances of randomly selecting the Queen of Hearts is 1 out of the total number of cards in the deck.
7.
If a month is picked at random, what is the probability that the month will start with M?
Correct Answer
B. 1/6
Explanation
The probability that a month will start with M is 1 out of 6 because there are 12 months in a year and only two of them starts with the letter M, which is May and March. Therefore, the chance of picking a month that starts with M is 2 out of 12, and simplified, it is 1/6.
8.
A spinner that is numbered 1-7 is used for a game. What is the probability that a 5 will be spun?
Correct Answer
C. 1/7
Explanation
The spinner has 7 equally likely outcomes (numbers 1-7). Since we are interested in the probability of spinning a 5, which is only one of the possible outcomes, the probability of spinning a 5 is 1 out of 7.
9.
A card game has 25 red cards, 25 green cards, 25 yellow cards, 25 blue cards, and 8 wild cards. What is the probability that the first card dealt is a wild card?
Correct Answer
C. 2/27
Explanation
The probability of drawing a wild card as the first card dealt can be calculated by dividing the number of wild cards (8) by the total number of cards in the deck (100). Therefore, the probability is 8/100, which can be simplified to 2/25.
10.
For his garden, Clay has a mixture of 12 white corn seeds, 24 yellow corn seeds, and 16 bi-color corn seeds. If he reaches for a seed without looking, what is the probability that Clay will plant a bi-color corn seed first?
Correct Answer
A. 4/13
Explanation
The probability that Clay will plant a bi-color corn seed first can be found by dividing the number of bi-color corn seeds by the total number of seeds. Clay has a total of 12 + 24 + 16 = 52 seeds. Therefore, the probability is 16/52, which simplifies to 4/13.
11.
Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean. If you pick one jelly bean from the bag at random, what is the probability that the bean will be yellow?
Correct Answer
5/13
Explanation
Divide the number of yellow jelly beans by the number of total jelly beans.
12.
Suppose that you have a bag containing 3 red jelly beans, 4 green jelly beans, 5 yellow jelly beans, and 1 black jelly bean. If you pick one jelly bean, what is the probability that it will be either red or green?
Correct Answer
7/13
Explanation
Add the red and green jelly beans and divide by the total
13.
In a survey of 100 students about their favorite pizza topping, 25 chose pineapple. According to these results, if a student is picked at random at the school, what is the chance that the student prefers pineapple as a pizza topping?
Correct Answer
A. 1 out of 4
Explanation
According to the survey results, out of the 100 students, 25 chose pineapple as their favorite pizza topping. Therefore, the chance that a student picked at random prefers pineapple is 25 out of 100, which can be simplified to 1 out of 4.
14.
Ben and Lily are going to roll a number cube one time to see who will start a game. Which of the following IS a fair way to decide who will go first?
Correct Answer
A. If a 1, 4 or 6 is rolled, Ben will go first. If a 2,3 or 5 is rolled, Lily will go first.
Explanation
The answer is fair because each outcome has an equal probability of occurring. There are 3 possible outcomes for Ben (rolling a 1, 4, or 6) and 3 possible outcomes for Lily (rolling a 2, 3, or 5), making it a fair way to decide who will go first.
15.
The probability of rolling a 6 on a regular number cube is 1/6. If Jacob tosses a number cube 48 times, how many times would he expect to roll a 6?
Correct Answer
A. 8
Explanation
If the probability of rolling a 6 on a regular number cube is 1/6, then for every 6 rolls, we would expect to roll a 6 once. Therefore, if Jacob tosses the number cube 48 times, we can expect him to roll a 6 approximately 8 times.
16.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number LESS THAN 2.
Correct Answer
A. 1/6
Explanation
The probability of rolling a number less than 2 can be found by counting the favorable outcomes (rolling a 1) and dividing it by the total number of possible outcomes (rolling any number from 1 to 6). Since there is only one favorable outcome (rolling a 1) out of six possible outcomes (1, 2, 3, 4, 5, and 6), the probability is 1/6.