List of top Mathematics Questions on Probability asked in IPU CET

Two dice are tossed. The probability that the total score is a prime number is

From a pack of 52 cards, two cards are drawn at random. What is the probability that both are Kings?

Six ants simultaneously stand on the six vertices of a regular octahedron with each ant at a different vertex. Simultaneously and independently, each ant moves from its vertex to one of the four adjacent vertices, each with equal probability. What is the probability that no two ants arrive at the same vertex?

In a class, there are 10 boys and 8 girls. When 3 students are selected at random, the probability that 2 girls and 1 boy are selected, is

If A and B are independent events such that \( P(B) = \frac{2}{7} \), \( P(A \cup B) = 0.8 \), then \( P(A) = \)?

There are 3 true coins and 1 false coin with 'head' on both sides. A coin is chosen at random and tossed 4 times. If 'head' occurs all the 4 times, then the probability that the false coin has been chosen and used is

A die is thrown twice and the sum of the numbers appearing is 6. Then, the conditional probability that the number 4 has appeared at least once is