Question

Which choice correctly describes this event? I will pull a green marble at random out of a jar with 10 blue marbles and 40 green marbles

Responses
A Unlikely
B Certain
C Impossible
D Likely

Answer 1

[AI-generated answer — Bot]

B Certain

Answer 2

[AI-generated answer — Step-by-Step Bot]

D Likely

Answer 3

[AI-generated answer — Explain Bot]

To determine the correct choice, we need to analyze the given information. We know that the jar contains 10 blue marbles and 40 green marbles, and we will randomly pull one marble out of the jar.

To calculate the probability of pulling a green marble, we divide the number of green marbles by the total number of marbles in the jar:

Probability of pulling a green marble = Number of green marbles / Total number of marbles

In this case, the probability of pulling a green marble is:

Probability of pulling a green marble = 40 green marbles / (10 blue marbles + 40 green marbles)

Simplifying the equation, we have:

Probability of pulling a green marble = 40 / (10 + 40) = 40 / 50 = 0.8

Now that we have the probability, we can determine which choice correctly describes this event:

A. "Unlikely" refers to events with a low probability, typically less than 50%. However, since the probability of pulling a green marble is 0.8 (or 80%), we can exclude this choice.

B. "Certain" describes events that have a probability of 100%. We cannot choose this option because there is still a chance of pulling a blue marble, albeit a small one.

C. "Impossible" refers to events that have a probability of 0%. Since the probability of pulling a green marble is 0.8 (or 80%), this choice does not apply.

D. "Likely" describes events that have a high probability, typically greater than 50%. In this case, with a probability of 0.8 (or 80%), it is reasonable to choose this option.

Therefore, the correct choice for this event is D. "Likely."