karen, gavin, nasra, and ali each have a deck of playin cards. Each student randomly draws a card from the deck. find the probability of each event:

A) each students draws a club.

B) Karen draws a red card, Gavin draws a kings, Nasra a black card, and ali draws the 2 of clubs.

C) Karen draws a heart, Gavin draws a heart, Nasra a face card, and ali draws an ace

sincerely me

cheifraidhunter
Jun 9, 2017

#1**0 **

A) therre are 13 clubs in 52 cards so the probability of drawing a club is 1/4. Since there are four independent decks involved here the probability of all four drawing a club is (1/4)^{4}, or 1/256

B). There are 26 red cards in a deck, so probability of drawing one is 26/52 or 1/2

There are 4 kings in a deck, so probability of drawing one is 4/52 or 1/13

There are 26 black cards, so probability of drawing one is 1/2

There is only one 2 of clubs so probability of drawing it is 1/52

Overall probability is obtained by multiplying these together, namely: (1/2)*(1/13)*(1/2)*(1/52) or 1/2704

C) Try this one yourself using a similar sort of reasoning.

.

Alan
Jun 10, 2017