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Nonamiya [84]
3 years ago
14

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8,

9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

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15+x= 48

Isolate x by subtracting 15 from both sides.

15-15+x=48-15

x=33

Final answer: Craig's score is 33.
5 0
4 years ago
For what values of p does the equation px = 10 have a solution −5; 1; 20?
shutvik [7]

The values of p for which the equation px = 10 have a solution −5; 1; 20 is -2, 10, \frac{1}{2}

<u>Solution:</u>

Given, equation is px = 10.

We have to find the values of p for which solutions of given equations becomes -5, 1, 20.

We just need to substitute -5, 1, 20 in given equation as x, to values of p.

Now, For -5 ⇒ p(-5) = 10 ⇒ -5p = 10 ⇒ p = -2

For 1 ⇒ p(1) = 10 ⇒ p = 10

For 20 ⇒ p(20) = 10 ⇒ 20p = 10 ⇒ p = \frac{1}{2}

Hence, the values of p are -2, 10, \frac{1}{2} for the solutions -5, 1, 20 respectively.

3 0
3 years ago
What is the amount of interest I earned on $4000 deposited in a savings account with 4% interest compounded annually after 4 yea
Dominik [7]

Answer:

640 would be your interest.

Step-by-step explanation:

I'm not sure if htis is correct.. but to get interest u multiply rate part and time.

6 0
3 years ago
NEED HELP ASAP please help
Lerok [7]

Answer:

a) 7/5

your y - intercept is wrong btw, the x should always be 0 on a y-intercept so it should be (0,7)

y-7 = 7/5 (x)

Step-by-step explanation:

given the x intercept = (-5,0) and the y intercept = (0,7), we can plug these points into the slop equation

y1-y2

____ = m

x1-x2

m = (0-7)/(-5-0) = -7/-5 = 7/5

slop-intercept form is basically point slope form

y-y1 = m(x-x1)

y-7 = 7/5(x-0)

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3 years ago
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Answer:

4

Step-by-step explanation:

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3 years ago
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