A box contains 100 colored chips; some are violet and some are red. Wilson chooses a chip at random, records the color, and places it back in the bag. Wilson has recorded 9 violet chips and 16 red chips. Using these results, what is the predicted number of violet chips in the box?

11
25
36
75

Respuesta :

Answer: 36

Step-by-step explanation:

Wilson records 9 violet chips and 16 red ones.

So from a sample of 25 chips, 9 are violet.

So violet probability out of 25 = 9/25.

If we make a proportion we find how many violet chips out of 100 = 36

9/25 = ?/ 100

?= 36

The predicted number of violet chips in the box is 36

What Do you mean by Probability ?

Probability is a stream in maths which is useful in prediction of likeliness of an event to happen.

It has a range of 0 to 1, where 0 means unlikeliness and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

It is given in the question that

A box contains 100 colored chips

Wilson records 9 violet chips and 16 red ones.

So from a sample of 25 chips, 9 are violet.

So violet probability of violet chips out of 25 = 9/25.

To find the number of violet chips in the box

a proportion has to be made

9/25 = v/ 100

v= 36

Therefore the predicted number of violet chips in the box is 36

To know more about Probability

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