a bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Whats the probability od drawing a red chip, replacing it, then drawing a blue chip
There are 25 chips. 7/25 of them are red and 6/25 are blue.
The probability of what you described is
(7/25)*(6/25) = 42/625
To calculate the probability of drawing a red chip, replacing it, and then drawing a blue chip from the bin, we need to consider the number of possible outcomes and the number of desired outcomes.
First, we need to find the total number of chips in the bin. The bin contains 7 red chips + 9 green chips + 3 yellow chips + 6 blue chips, which gives us a total of 25 chips.
Next, we need to find the number of desired outcomes. We want to draw a red chip, replace it back into the bin, and then draw a blue chip.
The probability of drawing a red chip is calculated by taking the number of red chips (7) and dividing it by the total number of chips (25): 7/25.
Since the chip is replaced after each draw, the probability of drawing a blue chip is also 6/25.
To find the probability of both events happening, we multiply the probabilities together:
Probability of drawing a red chip and then drawing a blue chip = (7/25) * (6/25).
The final answer is (42/625), which can also be simplified if desired.