Question

a bag of assorted chocolates with 52 chocolates in total contains 12 dark chocolates and the rest are white chocolates. i draw a chocolate at random, consume it and then repeat the same process again, consuming 2 chocolates in total. what is the chance that both the chocolates that i consumed were dark?

Answer 1

Explanation:
After taking out the 12 dark chocolates, the bag now contains 52 - 12 = 40 white chocolates.

The probability of drawing a dark chocolate on the first draw is 12/52.

After the first chocolate is consumed, there are now 51 chocolates remaining in the bag, including 11 dark chocolates and 40 white chocolates.

The probability of drawing a dark chocolate on the second draw, given that a dark chocolate was already consumed on the first draw, is 11/51.

The probability of drawing 2 dark chocolates in a row is the product of the probabilities of drawing a dark chocolate on the first and second draws:

(12/52) * (11/51) = 0.0597, or approximately 5.97%.

Therefore, the chance that both chocolates consumed were dark is approximately 5.97%.