5% of items manufactured by a machine are known to be defective is 4 out of 100 items taken randomly, find the probability that they will be deffective.?

To find the probability that randomly chosen items will be defective, we need to know the total number of items and the number of defective items.

In this case, we know that 5% of the items manufactured are defective. This means that out of 100 items, 4 are defective.

So, the probability of randomly selecting a defective item can be calculated as follows:

Probability of selecting a defective item = Number of defective items / Total number of items

Probability of selecting a defective item = 4 / 100

Probability of selecting a defective item = 0.04 or 4%

Therefore, the probability of randomly choosing a defective item is 4%.

To find the probability, we need to know the total number of items as well as the number of defective items.

We are given that 5% of items manufactured are known to be defective. This means that out of every 100 items, 5 are defective.

In this case, 4 items are taken randomly, so the probability of getting a defective item can be calculated as follows:

Probability = Number of defective items / Total number of items

Since we already have the number of defective items (5 out of 100), we can substitute these values into the formula:

Probability = 4 / 100 = 0.04

Therefore, the probability of randomly choosing 4 defective items out of 100 is 0.04 or 4%.