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)
Responses
1
1
25
Start Fraction 2 over 5 End Fraction
35
Start Fraction 3 over 5 End Fraction
720
The total number of marbles in the bag is 5 + 7 + 12 + 2 + 4 = 30.
The number of green marbles is 12.
The theoretical probability of picking a green marble is 12/30 = 2/5.
So the answer is 2/5.
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)
Responses
37
Start Fraction 3 over 7 End Fraction
310
Start Fraction 3 over 10 End Fraction
710
Start Fraction 7 over 10 End Fraction
1
The total number of marbles in the bag is 9 + 5 + 8 + 2 + 6 = 30.
The number of pink marbles is 9.
The complement of not picking a pink marble is equivalent to picking a marble that is not pink.
This is calculated as 1 - (number of pink marbles / total number of marbles) = 1 - (9 / 30) = 1 - 3/10 = 7/10.
So, the answer is 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)
Responses
66 times
198 times
44 times
22 times
The probability of landing on B is the number of sections labeled B divided by the total number of sections, which 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:
(1/3) * 198 = 198/3 = 66 times.
Therefore, the correct prediction is 66 times.