Calculating the Probability of Picking 4 Aces in 4 Tries: Step-By-Step Guide with Solution

Find the probability of success. Use a calculator if needed.A deck of 20 cards contains 4 aces. What is the probability of picking 4 aces in 4 tries? After each try, the card is put back, and the cards are reshuffled.

To find the probability of picking 4 aces in 4 tries, we need to consider the probability of picking an ace on each try and then multiply them together

To find the probability of picking 4 aces in 4 tries, we need to consider the probability of picking an ace on each try and then multiply them together.

Step 1: Determine the probability of picking an ace on one try.
There are 4 aces in a deck of 20 cards, so the probability of picking an ace on one try is 4/20 or 1/5.

Step 2: Calculate the probability of picking an ace in 4 tries.
Since the cards are put back and reshuffled after each try, the probability for each try remains the same. Therefore, we can use the probability of picking an ace on one try and multiply it by itself four times.
(1/5) x (1/5) x (1/5) x (1/5)

Simplifying, we get:
(1/5)^4 = 1/625

The probability of picking 4 aces in 4 tries is 1/625.

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