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enyata [817]
1 year ago
6

a bag of 10 marbles contains seven striped Marbles and 3 black marbles in the first event Mark draws a striped marble he does no

t replace it in the next three events Mark draws a striped 2 striped Marbles and one black marble he does not replace those marbles either what is the probability that he will select a black marble on the 5th event . Teach me how to solve it it's out of a1:10 b1:3 c2:7 d 2:3 I think its d
Mathematics
1 answer:
Illusion [34]1 year ago
7 0

The probabability that he will obtain a black marble is as follows.

Using the first event, since there are 7 striped marbles and there's a total of 10 marbles, the probability must be as follows:

P=\frac{7}{10}

For the next three event, since there are no replacements, the denominators of each factor will be subtracted by 1. Thus, we have the following:

P=\frac{7}{10}\cdot\frac{\square}{9}\cdot\frac{\square}{8}\cdot\frac{\square}{7}

Since one striped marble is already taken in the first event, there must be 6 striped marbles left in the second event, and 5 on the third event. As for the fourth event, there are 3 black marbles based from the given. Thus, the probability up until the fourth event is as follows:

P=\frac{7}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{3}{7}

Finally, to find the probability that he will select a black marble on the fifth event, the fifth factor must have a denominator of 6 since 4 marbles were already taken out in the first 4 events. On the other hand, the numerator must be 2 since one black marble is taken out on the 4th event.

Thus, simplifying the probability, we have the following:

P=\frac{7}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{3}{7}\cdot\frac{2}{6}=\frac{1}{24}

Therefore, the probability must be 1/24.

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\frac{7}{8}   \times  \frac{1}{2}

=  \frac{7 \times 4}{8}

=  \frac{28}{8}

=  \frac{ \cancel{28}}{ \cancel{8}}

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Answer:

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Step-by-step explanation:

To find the slope of the line, we do (y2 - y1) / (x2 - x1)

If we put in the values, we'll get

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Simplify and get

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Your slope is now 4/3, so you can put it into your equation y = mx + b

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To find b, we can plug in the values from one of your points. Lets use (3, -8)

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Now solve the equation

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Now that you have b, your equation is complete:

y = 4/3x - 12

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