Question 1:
Reba selects 1 card from each of these 3 piles. What is the probability that she selects 3 even numbers?
The figure shows 3 piles of cards. The first pile has three cards labeled as 1, 2, and 3. The second pile has two cards labeled as 4 and 5. The third pile has four cards labeled as 6, 7, 8, and 9.
A. 1/12 ***
B. 4/9
C. 1/2
D. 4/3
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Question 2:
What is the probability of selecting a “B” on the first spinner and a “Z” on the second spinner?
The figure shows two spinners as circles. The circle on the left is divided into four equal parts labeled as Upper A, Upper B, Upper C, and Upper D. The circle on the right is divided into three equal parts labeled as Upper X, Upper Y and Upper Z.
A. 1/16
B. 1/12 ***
C. 1/6
D. 1/4
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Question 3:
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?
Wooden Embellishments:
2 hearts
3 clouds
4 birds
Ceramic Embellishments:
2 cats
3 dogs
Metal Embellishments:
3 stars
5 squares
A. 1/27
B. 3/40 ***
C. 1/9
D. 3/8
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Question 4:
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?
A. Assign the numbers 0 through 8.5 to people with Rh positive blood and the numbers 8.6 through 9.9 to people with Rh negative blood.
B. Assign the integers 00 through 84 to people with Rh negative blood and the integers 85 through 99 to people with Rh positive blood.
C. Assign the integers 00 through 85 to people with Rh positive blood and integers 86 through 99 to people with Rh negative blood.
D. Assign the integers 00 through 84 to people with Rh positive blood and the integers 85 through 99 to people with Rh negative blood. ***
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Question 5:
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?
A. toss a coin two times
B. spin a spinner with 4 equal sections two times
C. roll a six-sided number cube two times ***
D. pick a card from 10 cards two times
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Question 6:
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?
A. Write the numbers 1 to 8 on note cards and see how many times the numbers 3 and 5 are picked.
B. Generate 5 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated. ***
C. Throw a dart at a dartboard and see how many times you can score 80 points.
D. Generate 3 random integers from 1 to 10 and see how many times the numbers 1 to 8 are generated.
all of these are correct !
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#1 and #2 are both correct : )
Your thoughts are good and your theory is sound : )
Reba selects 1 card from each of these 3 piles. What is the probability that she selects 3 even numbers?
Izzy's dog is 10 1⁄2 years old. Paige's dog is 18 months old. How many years older is Izzy's dog?
To answer Question 1, Reba has to select one card from each of the three piles. The first pile has three cards, the second pile has two cards, and the third pile has four cards. Reba needs to select three even numbers, which means she needs to select one even number from each pile.
The probability of selecting an even number from the first pile is 2 out of 3, since there are two even numbers out of a total of three cards.
The probability of selecting an even number from the second pile is 0, since there are no even numbers in the second pile.
The probability of selecting an even number from the third pile is 2 out of 4, since there are two even numbers out of a total of four cards.
To find the overall probability, we multiply the probabilities of selecting an even number from each pile: (2/3) * 0 * (2/4) = 0.
Therefore, the probability that Reba selects 3 even numbers is 0. The correct answer is A. 0.