Question

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble

Answer 1

Compute probabilities (total marbles = 10):

- Blue: 2/10 = 0.20 (equals 1/5, not greater)
- Red: 3/10 = 0.30 > 1/5
- Red then blue w/o replacement: (3/10)*(2/9) = 6/90 = 1/15 ≈ 0.0667 < 1/5
- White then white with replacement: (5/10)*(5/10) = 1/4 = 0.25 > 1/5
- White: 5/10 = 0.50 > 1/5

So the three events with probability greater than one-fifth are:
- choosing 1 red marble
- choosing 1 white marble, replacing it, and choosing another white marble
- choosing 1 white marble