An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answers
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Final answer:
The probability of drawing four sevens, at least one seven, no sevens, and exactly two sevens from a shuffled deck of cards is explained step-by-step.
Explanation:
(a) The deck contains 52 cards, out of which there are 4 sevens. So, the probability of drawing a seven on the first card is 4/52. After drawing the first seven, there are 51 cards left in the deck, including 3 sevens. So, the probability of drawing a seven on the second card is 3/51. Continuing this process, the probability of getting four sevens in a row is (4/52) * (3/51) * (2/50) * (1/49).
(b) The probability of at least one seven can be calculated by finding the probability of the complement event (no seven). The probability of no seven on the first card is 48/52. After drawing the first card, there are 51 cards left, so the probability of no seven on the second card is 47/51. Continuing this process, the probability of no seven in four cards is (48/52) * (47/51) * (46/50) * (45/49). Subtracting this probability from 1 gives us the probability of at least one seven.
(c) The probability of none of the four cards being a seven can be calculated similarly to part (b). The probability of no seven on the first card is 48/52. After drawing the first card, there are 51 cards left, so the probability of no seven on the second card is 47/51. Continuing this process, the probability of no seven in four cards is (48/52) * (47/51) * (46/50) * (45/49).
(d) To find the probability that exactly two of the four cards are sevens, we need to consider two cases: (1) the first two cards are sevens and the last two are not, and (2) the first two cards are not sevens and the last two are. The probability of the first case is (4/52) * (3/51) * (48/50) * (47/49), and the probability of the second case is (48/52) * (47/51) * (4/50) * (3/49). Adding these probabilities gives the total probability.
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-6(x - 6) = x(16 - 7)Help please
A)0.5B)2.5C)-0.5D)-2.5
Answers
Step-by-step explanation:
We know that this particularly line can be named as :
- JK ←→
- LM ←→
This give us the following information :
- The line passes through the points J and K
- The line passes through the points L and M
One statement we can make is :
The points J , K , L and M are aligned. So the line passes through the points J , K , L and M.
We also know that given a line there are infinite planes that contain the line.
Given that the points J , K , L and M belong to the same line, we can state that :
There are infinite planes that contain the points J , K , L and M.
-7
-4
4
5
Answers
Answer:
B.
✔ -4
Step-by-step explanation:
E 2021
Final answer:
It is impossible to determine the value of x that would make f(x) equal to -3 without having the concrete function. Please provide the function so that we may further assist.
Explanation:
In this question, we want to find the value of x for which the function f(x) equals -3. However, without having the actual function, it is not possible to deduce the correct value. Normally, we would substitute the value of f(x) into the equation and solve for x. If you have a specific function, please provide it and we can help you solve for the x which makes the function equal to -3
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Answers
The Answer:
If Sandra started at 800 meters and went up 120, the answer would be 920.
Step-by-step explanation:
First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.
Hope this helps!
You would add 120 and 800 which is 920
Answers
Answer:
let integers be x,2x, 3x respectively
x+2x+3x= 267
6x= 267
x=267/6= 44.5
2x= 44.5*2= 89
3x= 44.5*3= 133.5
largest integer = 133.5
hope it helps
plz mark as brainliest
B. 14 in
C. 15 in
D. 12 in
Answers
Answer:
D. 12 in²
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
Substituting the given values for the length of the base (b) and the height (h), we have ...
A = (4 in)(3 in)
A = 12 in²
The area is 12 square inches.
Answer:
D 12
Step-by-step explanation:
I just did the lesson and got it right.
Answers
good luck