You pick a card at random. Without putting the first card back, you pick a second card at random.
cards: 4, 5, 6, 7
What is the probability of picking a 5 and then picking a 5? Write your answer as a percentage.
The probability of picking a 5 on the first draw is 1 out of 4, or 1/4.
Since the first card is not replaced, there are now 3 cards remaining, including one more 5. So the probability of picking a second 5 on the second draw is 1 out of 3, or 1/3.
Multiplying the probabilities together:
(1/4) * (1/3) = 1/12
Converting this probability to a percentage:
1/12 = 0.0833
0.0833 * 100% = 8.33%
So, the probability of picking a 5 and then picking a 5 is 8.33%.