Question

put the events in order of increasing probability.
p = 0
you flip a quarter and it lands on tails.
you roll a 6-sided die and it lands on 5.
you pull an orange marble from a bag of all yellow marbles.
you roll a 6-sided die and it does not land on 3.
you pull a purple marble from a bag of all purple marbles.

Explanation:

Step1: Calculate probabilities

• Flip quarter (tails): $P = \frac{1}{2}$
• Roll die (5): $P = \frac{1}{6}$
• Pull orange from all yellow: $P = 0$
• Roll die (not 3): $P = \frac{5}{6}$
• Pull purple from all purple: $P = 1$

Step2: Order by probability

From least to most: $0 < \frac{1}{6} < \frac{1}{2} < \frac{5}{6} < 1$

Answer:

1. You pull an orange marble from a bag of all yellow marbles.
2. You roll a 6 - sided die and it lands on 5.
3. You flip a quarter and it lands on tails.
4. You roll a 6 - sided die and it does not land on 3.
5. You pull a purple marble from a bag of all purple marbles.