1
BITSAT 2023
+3
-1

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

A
$$\frac{5}{8}$$
B
$$\frac{1}{8}$$
C
$$\frac{7}{8}$$
D
$$\frac{3}{8}$$
2
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
3
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
$${{3} \over {26 }}$$
4
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
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