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FromTheMoon [43]
3 years ago
7

find the probability of drawing a diamond 8 through 10 on the first draw, replacing it, and drawing a black card on the second d

raw?
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Drawing an 8, 9 or 10 of diamonds would be 3/52 ( cards out of 52 total cards)

Drawing a black card would be 1/2 ( half the deck is black)

The probability of both happening is 3/52 x 1/2 = 3/104

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Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
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Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

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This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

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<h2>Solve </h2>

Solve by plugging in the given values into the formula.

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This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

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