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Wittaler [7]
3 years ago
10

Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?

Mathematics
2 answers:
shusha [124]3 years ago
5 0

3 chances of jacks out of 52 cards

andrew-mc [135]3 years ago
4 0

<u>Answer:</u>

Probability of getting three jacks = \frac { 3 } { 5 2 }

<u>Step-by-step explanation:</u>

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = \frac { 3 } { 5 2 }

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rewona [7]

Answer:

x = 1/4

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Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

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x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

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7*x - 3 + z = 1

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8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

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Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0
3 years ago
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