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Question

If a fair six-sided die is tossed twice and the tosses are independent, then the probability of getting a 5 on both tosses is:

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

1/36

Since the tosses are independent, the probability of getting a 5 on a single toss of a fair six-sided die is 1/6. Therefore, the probability of getting a 5 on both tosses is:
1/6 * 1/6 = 1/36.

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Similar Questions

  1. If A and B are two events such that P(A∪B) = 3/4 P(A∩B)

  2. Suppose a die is thrown four times and 5, 3, 5, 3 are obtained, respectively. Then the empirical probability of getting 5 is:

  3. For any two events A and B in sample space S, which of the following options is NOT true?

  4. If a biased coin is tossed 10 times, out of which head is obtained 3 times, then what is the probability of getting head on the 11th toss?

  5. Find the probability that there may be 53 Sundays in a leap year.

  6. 25 books are placed at random on a shelf. The probability that a particular pair of books shall be always together is:

  7. On rolling of a die, the events E1 (getting an even number) and E2 (getting an odd number) are:

  8. Die I has 4 red and 2 white faces and die II has 2 red and 4 white faces. A coin is flipped once. If head appears, the game continues by flipping die I, and if tail appears, then die II is used. The probability of getting a red face at any throw is:

  9. As the sample size increases, empirical probability:

  10. 'p' is the probability that a man aged x years will die in a year. A man aged x, A₁ will die in a year and will be the first to die.


Important Questions from Probability

  1. The probability of being 53 Sundays in year 2020 is-

  2. Three dice are thrown randomly. The probability of coming 3 in at least one die is

  3. The probability of having 53 Tuesdays in an ordinary year is:

  4. When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be

  5. How many 3 - digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

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