1
BITSAT 2022
+3
-1

A six faced die is a biased one. It is thrice more likely to show an odd numbers than show an even number. It is thrown twice. The probability that the sum of the numbers in two throws is even, is

A
$$\frac{5}{9}$$
B
$$\frac{5}{8}$$
C
$$\frac{1}{2}$$
D
None of these
2
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
$${{3} \over {26 }}$$
3
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
4
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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