Question

blank 1: 7/12
question 6 (1 point)
a bag contains 30 tiles numbered 1-30. a tile is selected, not replaced, and then another tile is drawn. what is the probability of selecting 24 and then a number less than 15? (not equal to)
enter a reduced fraction (example: 2/3).
blank 1:
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Explanation:

Step1: Probability of picking 24 first

There is 1 tile numbered 24 out of 30 total tiles.
$\text{Probability of 24} = \frac{1}{30}$

Step2: Probability of picking <15 next

After removing one tile, 29 tiles remain. Numbers less than 15 are 1-14, so 14 tiles.
$\text{Probability of <15} = \frac{14}{29}$

Step3: Multiply the two probabilities

This is a sequential event, so multiply the individual probabilities.
$\text{Total Probability} = \frac{1}{30} \times \frac{14}{29} = \frac{14}{870} = \frac{7}{435}$

Answer:

$\frac{7}{435}$