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2 years ago

How do you find theoretical probability?

Mathematics

1 answer:

shepuryov [24]2 years ago

4 0

Step-by-step explanation:

<h2>Theoretical Probability Definition</h2>

Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

<h3>Find the probability of rolling a 5 on a fair die</h3>

Solution: 

To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.

I hope it helps

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5x^2(3x-2)

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2 years ago

A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,

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The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

$r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}$

Using the given parameters, we have:

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}$

Evaluate the exponents

$r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}$

Evaluate the products

$r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}$

Evaluate the differences

$r = \frac{19168}{\sqrt{[396411*3264}}$

Evaluate the product

$r = \frac{19168}{\sqrt{1293885504}}$

Evaluate the root

$r = \frac{19168}{35970.6}$

Evaluate the quotient

$r = 0.53$

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

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2 years ago

A post 8 feet tall casts a shadow 12 feet long at the same time that a flagpole casts a shadow 96 feet long, how tall is the fla

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Answer:

64 ft

Step-by-step explanation:

The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.

The shadow of the flagpole is 8 times longer than the shadow of the post.

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2 years ago

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Answer:

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