Question

A red box contains 8 items of which 3 are defective, and a blue box contains five items of which 2 are defective an item is drawn at random from each box. what is the probability that both items are non defective​

Answer 1

Answer:

RED BOX=8 ITEMS

                  3 DEF

BLUE BOX=5 ITEMS

                    2 DEF

• PROBABLITY=DEF OF RED+DEF OF BLUE/ITEMS OF RED+ITEMS OF BLUE
• PROBABLITY=3+2/8+2
• =5/10
• =1/2

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Answer 2

Answer:

The answer is 9/40.

Explanation:

Red box - 3/8 defective pieces

Blue box - 2/5 defective pieces

Both the probabilities will get added.

3/8+2/5 = 15+16/40 = 31/40

Now, this is the probability of defective pieces. From this calculation we get to know the total number of outcomes will be 40.

So, the probability of non-defective pieces are --> 40/40-31/40

Hence the answer is 9/40.