1
BITSAT 2021
+3
-1

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings?

A
$${{7} \over {13 }}$$
B
$${{63} \over {221 }}$$
C
$${{55} \over {221 }}$$
D
$${{3} \over {26 }}$$
2
BITSAT 2021
+3
-1

If A and B are two independent events such that $$P(A) = {1 \over 2}$$ and $$P(B) = {1 \over 5}$$, then which of the following is correct?

A
$$P\left( {{A \over B}} \right) = {1 \over 2}$$
B
$$P\left( {{A \over {A \cup B}}} \right) = {5 \over 6}$$
C
$$P\left( {{{A \cap B} \over {A' \cup B'}}} \right) = 0$$
D
All of these
3
BITSAT 2021
+3
-1

Box I contains 5 red and 2 blue balls, while box II contains 2 red and 6 blue balls. A fair coin is tossed. If it turns up head, a ball is drawn from box I, else a ball is drawn from box II. The probability ball drawn is from box I, if it is blue, is

A
$${{27} \over {56}}$$
B
$${{8} \over {29}}$$
C
$${{21} \over {29}}$$
D
$${{29} \over {56}}$$
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