the purchasing director of a bank has just received a shipment of 100 printers. She has been told that the shipment includes 5 defective printers. She randomly selects two printers and tests them. If both printers work the purchasing director accepts the shipment. what is the probability the shipment is rejected?

help me please??tyy in advance!

If one does not work, the shipment will be rejected.

5/100 = ?

Why is 72 on monday

To find the probability that the shipment is rejected, we need to calculate the probability of selecting at least one defective printer out of the two tested.

Let's break down the problem and calculate each step:

Step 1: Calculate the probability of selecting a defective printer on the first draw.
Since there are 5 defective printers out of 100 in the shipment, the probability of selecting a defective printer on the first draw is 5/100.

Step 2: Calculate the probability of selecting a working printer on the first draw.
Since there are 95 working printers out of 100 in the shipment, the probability of selecting a working printer on the first draw is 95/100.

Step 3: Calculate the probability of selecting a defective printer on the second draw, given that the first printer was working.
After the first printer is selected and it is in working condition, there will be 4 defective printers left out of the remaining 99 printers. Therefore, the probability of selecting a defective printer on the second draw, given that the first printer was working, is 4/99.

Step 4: Calculate the probability of selecting a working printer on the second draw, given that the first printer was working.
After the first printer is selected and it is in a working condition, there will be 95 working printers left out of the remaining 99 printers. Therefore, the probability of selecting a working printer on the second draw, given that the first printer was working, is 95/99.

Step 5: Calculate the overall probability of selecting at least one defective printer out of the two tested.
To find this probability, we can calculate the complement probability (probability of rejecting the shipment) and subtract it from 1. The complement probability is when both printers work, so the probability of both printers working is (95/100) * (95/99). Subtracting this from 1 gives us the overall probability of at least one defective printer, which is:

1 - ((95/100) * (95/99))

Simplifying this expression will give us the final probability.