Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of draws necessary to get an ace. Find E(X) is given in the following way
Step-by-step explanation:
- From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
- A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace.
P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
- WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces?
P(AA) = (4/52)(3/51) = 1/221.
- WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a king?
P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been removed.
- WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52.
- The probability of drawing the second queen is also 4/52 and the third is 4/52.
- We multiply these three individual probabilities together to get P(QQQ) =
- P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
- Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
Answer:
D
Step-by-step explanation:
he picked 11 tomatoes per plant, 55 ÷ 5 = 11 so all answers that dont include an 11 are incorrect, A and C are wrong
because the tomato plants are listed before the tomatoes picked in the ratio that means that the number of plants has to be first, and the number of tomatoes has to be second. that means the answer is D, 1 plant: 11 tomatoes
1.80 I think. It's actually 1.7995 but in money we round so it's 1.80
To travel to Orlando is time=300/70=4.29 hours
x=hours traveller
Since there is 30 miles left in trip, the distance already traveled is 300-30=270
Set proportion
300/4.29=270/x
300x=(270)(4.29)
300x=1158.3
300/300x=1158.3/300
x≈3.86 hours ☆☆☆☆☆☆☆SOLUTION
