Three-fourths of a research team worked in a lab while one-fourth of the team worked near a pond. Of the researchers who worked near the pond, 14% collected insects. What is the probability that a randomly chosen researcher worked near the pond and collected insects

Question

Mathematics

Weston Dixon

3 February, 18:37

Three-fourths of a research team worked in a lab while one-fourth of the team worked near a pond. Of the researchers who worked near the pond, 14% collected insects. What is the probability that a randomly chosen researcher worked near the pond and collected insects

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Micheal · Answer 1

3.5%

Step-by-step explanation:

In this case, the final probability would be the product of the two probabilities that the plating shows us:

First probability would be:

We are told that three quarters of the equipment (3/4) in the laboratory and the other quarter (1/4) near the pond, we are interested in the latter, that is, the probability is 1/4 = 0.25

Second probability:

We are told that 14% collected insects, therefore it would be 0.14

The final product is the question they ask us:

0.25 * 0.14 = 0.035

Which means that the joint probability is 3.5%