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 in each individual try and multiply them together
To find the probability of picking 4 aces in 4 tries, we need to consider the probability of picking an ace in each individual try and multiply them together.
Since there are 4 aces in a deck of 20 cards, the probability of picking an ace in any single try is 4/20.
Since the card is put back and reshuffled after each try, the probability remains the same for each subsequent try.
To find the probability of picking 4 aces in 4 tries, we multiply the probabilities of picking an ace in each try together:
Probability = (4/20) * (4/20) * (4/20) * (4/20) = (4/20)^4
Calculating this using a calculator:
Probability ≈ (0.2)^4 ≈ 0.0016
Therefore, the probability of picking 4 aces in 4 tries, with replacement and reshuffling each time, is approximately 0.0016.
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