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Nutka1998 [239]
3 years ago
15

A deck of cards has a 5 pink, 2 gray, And 6 black cards. You pick two cards from the deck without replacement. What is the proba

bility that the first card is gray and the second card is pink?
Mathematics
2 answers:
Dahasolnce [82]3 years ago
8 0

Answer:

<u>The probability that the first card is gray and the second card is pink= 5/78</u>

Step-by-step explanation:

A deck of cards has a 5 pink, 2 gray, And 6 black cards.

The total cards = 5 + 2 + 6 = 13

You pick two cards from the deck without replacement.

The probability that the first card is gray = 2/13

The remaining cards = 13 - 1 = 12

The probability that the second card is pink = 5/12

So,

The probability that the first card is gray and the second card is pink =

  = 2/13 * 5/12 = 10/156 = 5/78

Alborosie3 years ago
5 0

5/78 = 6.4%

Answer:

5/78 = 6.4%

Step-by-step explanation:

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Step-by-step explanation:

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Mr Thompson please help with my new HW
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Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
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