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cluponka [151]
3 years ago
12

Box 1 contains 3 blue and 5 red balls, whereas Box 2 contains 2 blue and 4 red ball. A ball is randomly chosen from Box 1 and th

en transferred to Box 2, and a ball is then randomly selected from Box 2. What is the conditional probability that the transferred ball was blue, given that a red ball is selected from Box 2 (round off to second decimal place)?
Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

0.32

Step-by-step explanation:

Let A be the event that the transferred ball was blue.

B be the event that the red ball is selected from box 2

C be the event that the transferred ball was red

Then:

P(A) be the probability that the transferred ball was blue, which is 3/8

P(C) be the probability that the transferred ball was red, which is 5/8

P(B|A) is the probability that selected ball is red, given that the transferred ball was blue, which is 4/7

P(B|C) is the probability that selected ball is red, given that the transferred ball was red, which is 5/7

P(B) is the probability that the selected ball is red, which there are 2 scenarios, given that the transferred ball is blue and red

P(B) = P(B|A)P(A) + P(B|C)P(C)

P(B) = \frac{4}{7}\frac{3}{8} + \frac{5}{7}\frac{5}{8}

P(B) = \frac{3}{14} + \frac{25}{56} = \frac{37}{56}

P(A|B) is the probability that the transferred ball was blue, given that a red ball is selected from Box 2, which can be solved using Bayes theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{\frac{4}{7}*\frac{3}{8}}{\frac{37}{56}} = \frac{3}{14}\frac{56}{37} = \frac{12}{37} = 0.324

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MAVERICK [17]

Answer:

A = number of adult tickets

S = number of student tickets

1033 = total tickets sold

A + S = 1033

5A = money collected for adult tickets

S = money collected for student tickets

2265 = total money collected

5A + S = 2265

two equations and two unknowns:

5A + S = 2265

A + S = 1033

subtract 2nd equation from 1st and solve for A:

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Plug in value for A in 1st equation and solve for S:

A + S = 1033

308 + S = 1033

S = 725

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levacccp [35]

The graph of linear equation 2x - 3y = -12 is as shown below.

I this question, we have been given a linear equation 2x - 3y = -12

We need to graph the points.

For x = 1,

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For x = 0,

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y = (-12)/(-3)

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For x = -1,

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Now we plot these points.

The graph of linear equation 2x - 3y = -12 is as shown below.

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Answer:

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Step-by-stp explanation:

Let f(x) = g(x) = y:

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