A gas station offers a lucky draw to customers. Each time you spend more than $20 on gas, you can make a draw to win a prize. The probability of winning a prize is 1/12. Suppose you buy gas 4 times. What is the probability of you winning a prize each time?
1/12 * 1/12 * 1/12 * 1/12 or (1/12)^4
To find the chances of winning each times, multiply the denominators together to find the probability. In this case it's a 1/20736 chance (0.0048%)
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To find the probability of winning a prize each time, we need to multiply the probabilities of winning each time you make a draw.
Given that the probability of winning a prize is 1/12, the probability of not winning a prize is 1 - 1/12 = 11/12.
Since you have 4 attempts to win a prize, you need to multiply the probability of winning each time:
Probability of winning a prize each time = (1/12) * (1/12) * (1/12) * (1/12)
= 1/12^4
= 1/20,736
Therefore, the probability of winning a prize each time you buy gas for 4 times is 1/20,736.