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:
It is a polynomial of doom. mwahahahah, you cant stop me spider man
Step-by-step explanation:
Answer:
6.384 rounded to one decimal place is 6.4
Step-by-step explanation:
Answer:
7875 square inches
Step-by-step explanation:
4ft^2 = 2ft * 2ft
4ft^2 = 3in * 3in
4ft^2 = 9in^2
For 3,500 square foot
3,500 square foot = x
Divide bith expressions
4/3500 = 9/x
4x = 9 * 3500
4x = 31500
x = 31500/4
x = 7875 square inches
Hence the area of the house in inches is 7875 square inches
Answer:
second option
G(3 , -4) ; H(8 , 1)
Step-by-step explanation:
For the line GH to be a median, the point G must have the intermediate value at x and at y between points A and B, and the point H must have the intermediate value at x and at y between points A and B
G = (Ax + Bx)/2 , (Ay + By)/2
G = (3 + 3)/2 , (-9 + 1)/2
G = 6/2 , -8/2
G = (3 , -4)
H = (Cx + Bx)/2 , (Cy + By)/2
H = (13 + 3)/2 , (1 + 1)/2
H = 16/2 , 2/2
H = (8 , 1)
This is because for a medium to be the point p has to be right in the middle of the other 2 vertices
