1.
For questions 1-6 please use the following information: 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 by the total number of marbles in the bag. In this case, there are 4 blue marbles out of a total of 20 marbles. Simplifying the fraction 4/20 gives us 1/5, which represents the probability of drawing a blue marble from the bag.
2.
What is the odds of drawing a red marble
Correct Answer
A. 1/3
Explanation
The odds of drawing a red marble can be determined by calculating the probability of drawing a red marble out of all the possible outcomes. In this case, there is only one option out of three (since there are three options in total) that represents a red marble. Therefore, the odds of drawing a red marble are 1 out of 3, or 1/3.
3.
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 probabilities of drawing a black marble and a white marble separately. Since there are only two options (black or white), the probability of drawing a black marble is 2 out of 5 (2/5). Therefore, the correct answer is 2/5.
4.
What is the odds of drawing a KU color? (Hint for non fans: that is red or blue).
Correct Answer
B. 2/3
Explanation
The odds of drawing a KU color, which is either red or blue, can be calculated by adding the number of red and blue colors and dividing it by the total number of colors. In this case, the number of KU colors is 2 (red and blue) out of a total of 3 colors, so the odds are 2/3.
5.
What is the shortcut to finding probability?
Correct Answer
A. Success/total
Explanation
The shortcut to finding probability is to divide the number of successful outcomes by the total number of possible outcomes. This is because probability is a measure of how likely an event is to occur, and it is calculated by comparing the number of favorable outcomes to the total number of outcomes. By using the ratio of success to total, we can determine the likelihood of an event happening.
6.
What is the shortcut for finding odds?
Correct Answer
B. Success/failure
Explanation
The shortcut for finding odds is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. In this case, the correct answer is success/failure, which means dividing the number of successful outcomes by the number of unsuccessful outcomes.
7.
How can you change probability to odds?
Correct Answer
B. Success/total-failure
Explanation
To change probability to odds, you need to divide the probability of success by the probability of failure. The given answer, success/total-failure, follows this formula by subtracting the probability of failure from the probability of success. This calculation gives the ratio of the likelihood of success to the likelihood of failure, which represents the odds.
8.
How can you change probability to odds?
Correct Answer
A. Success/total+failure
Explanation
To change probability to odds, you need to divide the probability of success by the probability of failure. The given answer, success/total+failure, aligns with this concept. By adding the probability of failure to the denominator, it ensures that both success and failure are considered in the calculation.
9.
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 1/52. 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 selecting the Queen of Hearts randomly from the deck is 1 out of 52.
10.
If you have a standard deck of cards what is the odds of drawing an seven?
Correct Answer
D. 1/12
Explanation
The odds of drawing a seven from a standard deck of cards can be calculated by dividing the number of sevens in the deck (4) by the total number of cards in the deck (52). This gives us a probability of 4/52, which can be simplified to 1/13. Therefore, the correct answer is 1/13.