TG EAMCET 3 May 2025 Shift 1 Paper

Step 1: Find Probability of Drawing a Face Card First (P(A))
There are 12 face cards in a deck of 52 cards. So, P(A)=‌

12

52

=‌

3

13

.
Step 2: Find Probability of Drawing a Club Card Second (P(B))
There are 13 clubs in the deck. So, P(B)=‌

13

52

=‌

1

4

.
Step 3: Find P(‌

B

A

) (Probability of Not Drawing a Club in Second Draw Given First Card is Face Card)
We use the formula for conditional probability: P(‌

B

A

)=‌

P(B∩A)

P(A)

.
The draws are independent, so P(B∩A)=P(B)⋅P(A).
This means P(‌

B

A

)=‌

P(B)⋅P(A)

P(A)

=P(B).
We already have P(B), so P(B)=1−P(B)=1−‌

1

4

=‌

3

4

.