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  • Question
  • In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?


  • Options
  • A. 2/9
  • B. 5/9
  • C. 4/9
  • D. 0

  • Correct Answer
  • 4/9 

    Explanation

    Number of white marbles = 4

    Number of Black marbles = 5

    Total number of marbles = 9

    Number of ways, two marbles picked randomly = 9C2

    Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

    = 1/6 + 5/18

    = 4/9.

     

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO

    Probability problems


    Search Results


    • 1. Three dice are thrown together.Find the probability of getting a total of atleast 6.

    • Options
    • A. 103/216
    • B. 103/108
    • C. 103/36
    • D. 36/103
    • Discuss
    • 2. If an unbiased dice is rolled once, the odds in favour of getting a point which is multiple of 3 is:

    • Options
    • A. 1/2
    • B. 2/1
    • C. 1/3
    • D. 3/1
    • Discuss
    • 3. The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ?

    • Options
    • A. 37/64
    • B. 27/56
    • C. 11/13
    • D. 9/8
    • Discuss
    • 4. The probability that a number selected at random from the first 100 natural numbers is a composite number is ?

    • Options
    • A. 3/2
    • B. 2/3
    • C. 1/2
    • D. 34/7
    • Discuss
    • 5. If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

    • Options
    • A. 1/2
    • B. 2/3
    • C. 3/4
    • D. 4/3
    • Discuss
    • 6. Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

    • Options
    • A. 8/15
    • B. 7/15
    • C. 1/15
    • D. 4/15
    • Discuss
    • 7. In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

    • Options
    • A. 1/6
    • B. 1/4
    • C. 1/20
    • D. 3/4
    • Discuss
    • 8. A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is?

    • Options
    • A. 1/26
    • B. 1/13
    • C. 2/13
    • D. 1/52
    • Discuss
    • 9. Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?

    • Options
    • A. 16/19
    • B. 1
    • C. 3/2
    • D. 17/20
    • Discuss
    • 10. A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother?s selection is 1/5 and that of the sister?s selection is 1/3. What is the probability that only one of them is selected?

    • Options
    • A. 1/5
    • B. 3/4
    • C. 2/5
    • D. 3/5
    • Discuss


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