The probability of drawing a red card from a deck of normal playing cards is .5 (half red,half black).A magician draws 12 cards from the deck.What is the probability that the magician draws 10 red cards?
A).0002
B).004
C).016
D).064

Question

Quizplus · Accepted Answer

The probability of drawing a red card from a deck of cards is 0.5.
Therefore, the probability of drawing 10 red cards out of 12 can be found using the binomial distribution formula:

P(X = 10) = (12 choose 10) * 0.5^10 * 0.5^2

= 66 * 0.0009765625

= 0.064 or 6.4%

Therefore, the best answer is choice C.

The Probability of Drawing a Red Card from a Deck