Question

For which collections of marble would randomly selecting a white marble be least likely to occur?

A. Collection A: 2 white, 3 black marbles
B. Collection B: 1 white, 1 black marble
C. Collection C: 1 white, 5 black marbles
D. Collection D: 3 white, 2 black marbles

Answer 1

Collection C with 1 white and 5 black marbles is the collection where randomly selecting a white marble is least likely to occur, with a probability of 1/6.

Step-by-step explanation:

To determine which collection of marbles makes it the least likely for a white marble to be randomly selected, we need to calculate or compare the probability of drawing a white marble from each collection.

• Collection A: Probability of white = 2/(2+3) = 2/5
• Collection B: Probability of white = 1/(1+1) = 1/2
• Collection C: Probability of white = 1/(1+5) = 1/6
• Collection D: Probability of white = 3/(3+2) = 3/5

The collection with the lowest probability for drawing a white marble is Collection C with a probability of 1/6.