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nignag [31]
2 years ago
5

Make predictions using experimental probability can someone explain this topic please

Mathematics
1 answer:
Gekata [30.6K]2 years ago
3 0

You should multiply the experimental probability by the total number of trials in an actual experiment when making a prediction.

<h3>What is an experimental probability?</h3>

An experimental probability is also referred to as relative frequency or empirical probability and it can be defined as a ratio of the number of outcomes for the occurrence of a specific event to the total number of trials in an actual experiment.

In order to make a prediction by using experimental probability, you should multiply the experimental probability by the total number of trials in an actual experiment.

Read more on experimental probability here: brainly.com/question/10128393

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Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

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So

P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

P(A \cap B) = 0.6*\frac{1}{6} = 0.1

Find the probability that bridge B was used.

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333

0.1333 = 13.33% probability that bridge B was used.

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