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USPshnik [31]
3 years ago
10

A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer:

P (2) =\frac{1}{7}  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

P (2) =\frac{1}{7}

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}

To calculate a theoretical probability you always need to perform an experiment with n trials.

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Explanation

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(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

                           = (xz + 3)(xz - 3)

                          = x²y²-3xy+3xy-9

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(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

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(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

                                      = 4096y⁴-64y²x²+64y²x²-x⁴

                                      = 4096y⁴ - x⁴

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