A bag contains 6 red poker chips, 5 white poker chips, and 5 blue poker chips. If two poker chips are drawn from the bag, find the probability that the first one is blue and the second one is white. (write your answer as a fraction in lowest terms.)

YOU CANT READ MY POKER FACE

To find the probability of drawing a blue chip and then a white chip, we need to determine the total number of possible outcomes and the number of favorable outcomes.

First, let's find the total number of possible outcomes. Since we are drawing two chips, the first chip can be any of the 16 poker chips in the bag, and the second chip can be any of the remaining 15 chips. Therefore, the total number of possible outcomes is 16 * 15 = 240.

Next, we want to find the number of favorable outcomes, which is the event of drawing a blue chip first and then a white chip.

The probability of drawing a blue chip on the first draw is 5 out of 16 (since there are 5 blue chips out of 16 total chips left in the bag).
After drawing a blue chip, there are 4 blue chips left, and now we want to draw a white chip. The probability of drawing a white chip on the second draw is 5 out of the remaining 15 chips (since there are 5 white chips remaining out of 15 total chips left in the bag).

Therefore, the number of favorable outcomes is 5 * 5 = 25.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes = 25 / 240.

To simplify the fraction, we divide both the numerator and denominator by their common factor, 5:

Probability = 5 / 48.

Hence, the probability that the first chip drawn is blue and the second chip drawn is white is 5/48.

prob of first one blue

= 5/16
now we have 15 in the bag
prob of white = 5/15 = 1/3

so
5/16 * 1/3 = 5/39