A student has a bag of marbles. There are 5 pink, 7 red, 12 green, 2 blue, and 4 black marbles in the bag. Calculate the theoretical probability of picking a green marble.
(1 point)
A. 2/5
B. 3/5
C. 1
D. 7/20
D. 7/20
The theoretical probability of picking a green marble can be calculated by dividing the number of green marbles by the total number of marbles in the bag.
Probability = Number of green marbles / Total number of marbles
Probability = 12 / (5 + 7 + 12 + 2 + 4)
Probability = 12 / 30
Probability = 2 / 5
Probability = 0.4
Therefore, the theoretical probability of picking a green marble is 2/5 or 7/20.
The complement of an event is the probability that the event does not occur. In this case, the event is not picking a pink marble.
To find the complement of not picking a pink marble, we need to find the probability of picking a marble that is not pink. This can be calculated by adding up the number of marbles that are not pink and dividing by the total number of marbles.
Number of marbles that are not pink = 5 (red) + 8 (green) + 2 (blue) + 6 (white) = 21
Total number of marbles = 9 (pink) + 5 (red) + 8 (green) + 2 (blue) + 6 (white) = 30
Probability of not picking a pink marble = 21/30 = 7/10
Therefore, the complement of not picking a pink marble is 7/10, which corresponds to option D.
To determine how many times the spinner will land on the letter B, we need to find the probability of landing on B for each spin.
There are a total of 9 sections on the spinner, and 3 of them are labeled with B. Therefore, the probability of landing on B in one spin is 3/9 = 1/3.
To predict how many times the spinner will land on the letter B in 198 spins, we multiply the probability of landing on B by the total number of spins:
198 spins * (1/3) = 66 times
Therefore, the correct prediction is C. 66 times, as the spinner is expected to land on the letter B 66 times out of 198 spins.
To predict how many marbles in the bag will be blue, we can set up a proportion based on the marbles that Conor counted out:
3 blue marbles out of 10 total marbles = x blue marbles out of 600 total marbles
Using proportions:
3/10 = x/600
Cross-multiply to solve for x:
3 * 600 = 10 * x
1800 = 10x
x = 180
Therefore, the prediction is that there will be 180 blue marbles out of 600 marbles in the bag, which corresponds to option A. 180 blue marbles.
To predict how many times a 3 or a 5 will be rolled on a 6-sided number cube, we need to determine the probability of getting either a 3 or a 5 on one roll.
There are two favorable outcomes (rolling a 3 or a 5) out of six possible outcomes (rolling any number from 1 to 6). So, the probability of rolling a 3 or a 5 is:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 2/6
Probability = 1/3
Now, to predict how many times a 3 or a 5 will be rolled in 246 rolls, we multiply the probability by the total number of rolls:
246 rolls * (1/3) = 82 rolls
Therefore, the prediction is that a 3 or a 5 will be rolled 82 times out of 246 rolls, which corresponds to option B. 82 times.
The most accurate answer is 7/20, which is equivalent to 2/5. This is the theoretical probability of picking a green marble from the bag based on the given information about the number of marbles of each color in the bag.
Okay, Which one do you think is the most accurate?
Emma has a bag of marbles. There are 9 pink, 5 red, 8 green, 2 blue, and 6 white marbles in the bag. Calculate the complement of not picking a pink marble.
(1 point)
A. 3/7
B. 3/10
C. 1
D. 7/10
A spinner with 9 equal sections labeled with the letters A, A, B, B, B, C, C, C, and D is spun 198 times. Which of the following correctly predicts how many times the spinner will land on the letter B?
(1 point)
A. 44 times
B. 22 times
C. 66 times
D. 198 times
Conor has a bag of marbles. He counts out 10 marbles and finds that there are 3 blue marbles among them. If the bag has 600 marbles, predict how many will be blue.
(1 point)
A. 180 blue marbles
B. 60 blue marbles
C. 420 marbles
D. 200 blue marbles