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Oksi-84 [34.3K]
3 years ago
6

A card is randomly drawn from an ordinary deck of playing cards. What is the probability that the card is a king or a diamond?

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

There are 52 possible outcomes when you draw one card from a standard deck. Hence, 52 is the denominator of your probability fraction.

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There are 7 more girls than boys in a class. There are 23 students in the class in all how many girls are there in the class. Wh
Flura [38]
The unknown is how many girls and boys are in the class.
6 0
3 years ago
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace
valina [46]

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}

or about $1.46 per game.

3 0
3 years ago
Which ordered pair does NOT lie on the graph of h(x)=-2x + 7
Rus_ich [418]

Answer:

A

Step-by-step explanation:

To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph

A

x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph

B

x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph

C

x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph

D

x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph

8 0
3 years ago
Read 2 more answers
SIMPLIFY the expression
Burka [1]
The answer to your question is 7
4 0
3 years ago
Read 2 more answers
HELP PLEASEEEEEEEEEEEEE
zhenek [66]

9514 1404 393

Answer:

  2 1/12 days

Step-by-step explanation:

Time is the ratio of distance to speed.

  (1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days

5 0
3 years ago
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