Reba selects 1 card from each of these 3 piles. What is the probability that she selects 3 even numbers?
ANSWER: A (1/12)
What is the probability of selecting a “B” on the first spinner and a “Z” on the second spinner?
ANSWER: B
Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?
ANSWER: B
In addition to the blood types A, B, AB , and O, a person’s blood may be classified as Rh positive or Rh negative. In the United States, about 15% of the white population is Rh negative, while the percent is much lower in other racial groups. The director of a blood bank wants to estimate the probability that in a random group of 50 unrelated white donors, at least 8 will have Rh negative blood. If she generates random numbers to simulate this problem, how could she assign the numbers to the two blood types?
ANSWER: D
There are 4 boys and 2 girls in the Science Club. The members draw straws to determine which two members will give the demonstration at the science fair. Which simulation could be used to determine the probability that at least one of the demonstrators will be a girl?
ANSWER: C
William has a 3-point shooting average of 80%. He wants to determine the number of points he can expect to score if he takes 5 shots. Which describes one trial of a simulation for this situation?
ANSWER: B
Hope this helps!
To calculate the probability of selecting three even numbers, you need to know the total number of cards in each pile as well as the number of even numbers in each pile.
Let's assume that each pile contains the same number of cards and the numbers on the cards range from 1 to n, where n is the number of cards in each pile.
To calculate the probability, you need to determine the number of favorable outcomes (in this case, selecting three even numbers) divided by the total number of possible outcomes (selecting any three cards).
The probability of selecting an even number from each pile is (Number of even numbers in each pile / Total number of cards in each pile). Since each pile has the same number of cards and half of them are even numbers, this probability is 1/2.
To calculate the probability of selecting three even numbers from each pile, you multiply the probabilities together: (1/2) * (1/2) * (1/2) = 1/8.
Therefore, the probability of selecting three even numbers is 1/8 or 0.125.
Now let's move on to the next question.
To determine the probability of selecting a "B" on the first spinner and a "Z" on the second spinner, you need to know the total number of possible outcomes on each spinner and the number of favorable outcomes.
If the first spinner has n outcomes, and you want to select a "B" which is one of the outcomes, the probability of choosing "B" is 1/n.
Similarly, if the second spinner has m outcomes, and you want to select a "Z" which is one of the outcomes, the probability of choosing "Z" is 1/m.
To calculate the probability of selecting "B" on the first spinner and "Z" on the second spinner, you multiply the probabilities together: (1/n) * (1/m) = 1/(n*m).
Therefore, the answer to this question depends on the specific number of outcomes on each spinner (n and m) and cannot be determined without that information.
Moving on to the next question.
To determine the probability of picking one cloud, one dog, and one star embellishment, you need to know the total number of each type of embellishment and the total number of possible selections.
In this case, there are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments.
To calculate the probability of picking one of each, you multiply the probabilities together. The probability of selecting a wooden embellishment is 9/(9+5+8) since there are 9 wooden embellishments out of a total of 22. The probability of selecting a ceramic embellishment is 5/(9+5+8) and the probability of selecting a metal embellishment is 8/(9+5+8).
Therefore, the probability of picking one cloud, one dog, and one star embellishment is (9/22) * (5/22) * (8/22).
The answer to this question depends on the specific numbers given in the table and cannot be determined without that information.
Moving on to the next question.
In order to estimate the probability of at least 8 donors having Rh negative blood in a random group of 50 unrelated white donors, the director of the blood bank could generate random numbers and assign them to the two blood types.
For example, if the director generates random numbers from 1 to 100, she could assign the numbers from 1 to 15 to represent Rh negative blood and the numbers from 16 to 100 to represent Rh positive blood. Then, she could count the number of Rh negative blood donors among the random group of 50 unrelated white donors and compare it to 8 to estimate the probability.
Therefore, assigning the generated random numbers to represent the two blood types allows the director to simulate and estimate the probability.
Moving on to the next question.
To determine the probability of at least one girl being selected as a demonstrator at the science fair, you can use simulation.
One possible simulation could be as follows: you randomly draw two straws from all the straws (both boys' and girls') and check if at least one of the drawn straws is a girl's straw. Repeat this simulation a large number of times (e.g., 1000), and count the number of times at least one girl is selected. Then, divide the count by the total number of simulations to get the probability.
Therefore, simulation C is a suitable simulation to determine the probability of at least one girl being a demonstrator.
Moving on to the last question.
To determine the number of points William can expect to score if he takes 5 shots with a 3-point shooting average of 80%, you can use simulation.
One trial of the simulation could be as follows: you simulate each of the 5 shots using a random number generator. If the generated number is less than or equal to 0.8 (representing a successful shot), you count it as a successful shot and add 3 to the total score. Repeat this trial a large number of times (e.g., 1000), and calculate the average score to estimate the number of points William can expect to score.
Therefore, option B describes one trial of a simulation for this situation.