Question

There are some apples and Oranges in a basket.4 times the number of apples is that of the Oranges.12 apples and 26 Oranges more added to the basket and now the number of Oranges is double the number of apples.how many apples and Oranges were there in the basket at first?​

Answer 1

Answer:

Total:-                10 Oranges            20 Apples

Rotten:-                  3                              5

Good fruits:-           7                              15

Let A= Event of selecting one apple

& B= Event of selecting one good fruit

We have to find P(A∪B)=P(A)+P(B)−P(A⋂B)          ......(1)

Now, P(A)=30C120C1=32        {as there are 20 apples}

P(B)=30C122C1=1511               {as there are total 7+15=22 good fruits}  

P(A⋂B)=30C115C1=21     {as there are 15 non-defective apples}

Substituting the values in equation (1), 

P(A∪B)=32+1511−21

The probability that the fruit is either an apple or a good fruit is 109.