Question

Suppose that 8 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 8 are black? The probability is (Round to six decimal places as needed.)​

Answer 1

Answer:

0.0020760077

Step-by-step explanation:

The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.

The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.

The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.

And so on and so forth, now we just have to multiply the 8 fractions together:

26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=

$\frac{26}{52} *\frac{25}{51} *\frac{24}{50}* \frac{23}{49} *\frac{22}{48} *\frac{21}{47} * \frac{20}{46} * \frac{19}{45}$= 0.0020760077