Question

put the events in order of increasing probability. p = 0 you pull a yellow ball from a box of all yellow balls. you flip a dime and it lands on tails. you pull a gray ball from a box of all pink balls. you roll a 6 - sided die and it lands on 3, 4, 5, or 6. you roll a 6 - sided die and it lands on a multiple of 4.

Explanation:

Step1: Calculate probability of pulling yellow ball

Since the box has all yellow balls, the probability of pulling a yellow ball is $P_1 = 1$.

Step2: Calculate probability of dime - tails

When flipping a fair dime, there are 2 possible outcomes (heads or tails), so the probability of getting tails is $P_2=\frac{1}{2}$.

Step3: Calculate probability of pulling gray ball from pink - ball box

Since there are no gray balls in a box of all pink balls, the probability of pulling a gray ball is $P_3 = 0$.

Step4: Calculate probability of die landing on 3, 4, 5, or 6

A 6 - sided die has 6 possible outcomes. The numbers 3, 4, 5, or 6 are 4 of those outcomes, so the probability is $P_4=\frac{4}{6}=\frac{2}{3}$.

Step5: Calculate probability of die landing on a multiple of 4

On a 6 - sided die, the multiples of 4 are 4 only, so the probability is $P_5=\frac{1}{6}$.

Step6: Order probabilities

Comparing the probabilities $P_3 = 0$, $P_5=\frac{1}{6}$, $P_2=\frac{1}{2}$, $P_4=\frac{2}{3}$, $P_1 = 1$ in increasing order.

Answer:

1. You pull a gray ball from a box of all pink balls.
2. You roll a 6 - sided die and it lands on a multiple of 4.
3. You flip a dime and it lands on tails.
4. You roll a 6 - sided die and it lands on 3, 4, 5, or 6.
5. You pull a yellow ball from a box of all yellow balls.