Question

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1. John spins a fair spinner with 5 equal sections numbered 1-through 5. What is the probability that John spins and lands on the number 4 three times in a row?​

Answer 1

Answer: 1/125

Step-by-step explanation:

Since each spin is fair, the probability of landing on the number 4 is 1/5.

To find the probability that John lands on 4 three times in a row, we multiply the probability of landing on 4 by itself three times:

(1/5) x (1/5) x (1/5) = 1/125

So the probability of John landing on 4 three times in a row is 1/125. This means that if John were to spin the spinner 125 times, we would expect him to land on 4 three times in a row once on average.

Answer 2

To find the probability of John spinning and landing on the number 4 three times in a row, we need to consider the probability of landing on the number 4 in a single spin and then multiply it by itself three times.

Given that the spinner has 5 equal sections numbered 1 through 5, the probability of landing on the number 4 in a single spin is 1 out of 5, or 1/5.

Since we want this event to occur three times in a row, we multiply the probability:

Probability = (1/5) * (1/5) * (1/5) = 1/125

Therefore, the probability that John spins and lands on the number 4 three times in a row is 1/125