The aces of a deck of cards are used for the next problem. An experiment consists of drawing two cards from...

Question

The aces of a deck of cards are used for the next problem. An experiment consists of drawing two cards from those four cards and recording the suit of each card. Give the sample spaces for each of the following procedures (order is not important).
a) draw two cards at once
b) draw one card, set it aside, and then draw a card from the remaining three
c) draw one card, return it to the set, and then draw the second card

Answer 1

let c = a of clubs, h = a of hearts, d = a of diamonds, s= a of spades


a) the sample space is CH, CD, CS, HD, HS, DS
b) same sample space as a - CH, CD, CS, HD, HS, DS

c) sample space is CC, CH, CS,CD, HH, HS, HD, DD, DS, SS

Answer 2

The likelyhood of drawing any card in the problems that follow is 1/4 or 25%.

in A. Your likelyhood of drawing a specific suit for the first card is 1/4. The probability of drawing a specific different suit is 1/3 or 33%. The probability of drawing the same suit is 0/3 or 0%.

B. Same as A.

C. The probability of drawing the first suit twice is 1/16 because in order to draw the first suit, it is one in 4 replacing it and drawing it again is one in 4 so you multiply 4 by 4 and get 16.

Hope that helps... i cant really understand what your question is.