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amm1812
3 years ago
9

What is the probability that you roll a dice and get 3, then get an ace from a deck, then (without replacing the other card) dra

w a black 2?
I Really need help!
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
<h3>Answer:  1/1989</h3>

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

Explanation:

1/6 is the probability of rolling a '3' since there is one side we want out of 6 total.

The probability of getting an ace is 4/52 because there are 4 aces out of 52 cards total.

If that card isn't put back, then we have 52-1 = 51 cards left. That means the probability of drawing a black 2 is 2/51. The numerator 2 has nothing to do with the card value of '2'. It has to do with the fact we have 2 black cards (2 of spades, 2 of clubs) out of 51 left over.

We multiply the fractions to get the final answer

(1/6)*(4/52)*(2/51)

(1*4*2)/(6*52*51)

8/15912

1/1989

When using a calculator, we can see that,

1/1989 = 0.0005 = 0.05%

There is a very small chance of all three events happening at the same time.

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Tems11 [23]

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Answer:

  [-4,3]

Step-by-step explanation:

The domain is the left-right (horizontal) extent of the function. The dots at the end of the continuous line are solid, so the brackets on the interval are square brackets.

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4 0
3 years ago
Solve the inequality<br>-6p&lt;12 <br><br><br>Ah this is due by tomorrow
777dan777 [17]

-6p < 12    Divide -6 on both sides to get "p" by itself

\frac{-6p}{-6} < \frac{12}{-6}

p > -2


When you divide or multiply a negative number to both sides of the inequality, the sign (< , > , ≤ , ≥) is flipped.

3 0
4 years ago
A game involves spining this spinner. what is the probality that the pointer will land on g?
Doss [256]
There's a 1 in 7 chance it will land on G.
6 0
3 years ago
Read 2 more answers
Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
o-na [289]

Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

2 \ln x=3 \ln 4

Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

5 0
4 years ago
A biologist is researching a newly-discovered species of bacteria. He puts 1,000 bacteria into what he has determined to be a fa
Masteriza [31]
The bacteria grow from 1,000 bacteria into 12,500 bacteria in 12 hours.  The exponent function would be
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8 0
3 years ago
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