Answer:
0.0015 or 0.15%.
Explanation:
To find the probability of getting the number 5 and then the number 15 in two consecutive selections, we need to multiply the probability of getting the number 5 in the first selection by the probability of getting the number 15 in the second selection, given that the first selection resulted in a 5. We can use the formula for conditional probability to calculate the second probability.
The probability of getting the number 5 in the first selection is 5/100, or 0.05.
Given that the first selection resulted in a 5, there are now 99 values left, and 3 of them are 15. Therefore, the probability of getting the number 15 in the second selection, given that the first selection resulted in a 5, is 3/99, or 0.0303.
To find the probability of getting the number 5 and then the number 15 in two consecutive selections, we multiply the two probabilities:
P(5 and 15) = P(5) × P(15 | 5) = (5/100) × (3/99) ≈ 0.0015
Therefore, the probability of getting the number 5 and then the number 15 in two consecutive selections is approximately 0.0015 or 0.15%.