AP EAPCET 05-Jul-2022 Shift 1 Paper

A red ball can be drawn in two mutually exclusive ways.
(i) Selecting bag I and then drawing a red ball from it.
(ii) Selecting bag II and then drawing a red ball from it
Let E1,E2 and A denote the events defined as follows
‌E1=‌ Selecting bag I ‌
‌E2=‌ Selecting bag II ‌
Since, one of the two bags is selected randomly.
∴P(E1)=‌

1

2

‌ and ‌P(E2)=‌

1

2

Now, P(‌

A

E1

)= Probability of drawing a red ball when the first bag has been selected =4∕7 P(‌

A

E2

)= Probability of drawing a red ball when the second bag has been selected =2∕5.