Question

X. A single card is draw ollowing probabilities 1) from a standard 52-card deck. Find the The card draw (4 points each) and drawn is not a Red Ace r -0.25 = 1 T-P(Red Aco) 52 " The card drawn is a Red Jack or a Black Queen Read Jack = 0.0769 a Blach Q = 0.076952 4 1565 x 0. 07607 0.0764 - 0.1565 XI. TWO cards are drawn (without replacement from a standards Two cards are drawn (without card deck. What is the probability that the first card is a Spade and the second card is Black? (4 points) A 12 M 12 0 2 dy Spade 2 Blacg 3 cards. 4x 13 = 0.25 = 025341 = 1.25

Answer 1

il to find the probability of the card drawn is not a Red ace. P/ not a red ace] = 1- P/ getting a red ace] Plgetting a red ace] = No. of red ace Total number of cards No ofred ace = 2. Total no. of cards = 52. 2. Plgetting a red ace] - 22 P/ not a red ace] = 1-1 - = 26- 26 = 0.9615

ii) the card deacon is a Red Jack on a black queen P[Redzáck or black queen) - Pſredjack] + PCblack queen) No. of red jack = 2. No. of black queen=2. P{ red jack] = 2 2 2 p[black queen) - 32 Predjack or black queen) - 3 2 + 2 / 2 = 0.0769

XI. To find the probability that first card is a spade and second. cand is back (without replacement) proseaud, sade and 2ndcard black) P = Pli*Caudspade]xplamland back] No. of spades - 13 No. of black cards=26 Plist card spade) - 13 since 1stepede cand drawn is a black one so 26-1=25 : Plgelling 1st cand space and 2nd card black/ 52 25 - 13 x 25 = 25 204 -0. 1225

X.

i ) The probability that the card drawn is not a Red ace is 0.9615.

ii) The probability that the card drawn is a Red Jack or a Black Queen is 0.0769.

XI.

The probability that the first card drawn is a Spade and the second card is Black is 0.1225.