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  • Question
  • All the girls are sitting together.


  • Options
  • A. 1/42
  • B. 41/42
  • C. 3/35
  • D. 1/42

  • Correct Answer
  • 1/42 

    Explanation

    We have, 5 boys and 5 girls.
    Since, all the girls are sitting together, we consider them as one. Now, we can arrange 5 boys and 1 girl in 6! ways and these 5 girls (whom we considered as one) can also be arranged in 5! ways.
    ? Favorable number of ways = 6!5!
    and total number of ways to arrange 5 boys and 5 girls = 10!
    ? Required probability 6!5!/10! = 1/42


  • Probability problems


    Search Results


    • 1. 
      All the boys are not sitting together?

    • Options
    • A. 3/35
    • B. 43/49
    • C. 41/42
    • D. 1/42
    • Discuss
    • 2. 
      All the girls are not sitting together?

    • Options
    • A. 41/42
    • B. 39/42
    • C. 31/42
    • D. 31/35
    • Discuss
    • 3. 
      If three marbles are picked at random, what is the probability that either all are green or all are red?

    • Options
    • A. 7/44
    • B. 7/12
    • C. 5/12
    • D. 1/44
    • Discuss
    • 4. 
      If one cap is picked at random, what is the probability that it is either blue or yellow?

    • Options
    • A. 2/9
    • B. 1/4
    • C. 3/8
    • D. 6/11
    • Discuss
    • 5. 
      An elevator starts with 5 passengers and stops at 8 different floors if the house. Find out the probability of all the 5 passengers alighting at different floors.

    • Options
    • A. 101/512
    • B. 105/512
    • C. 107/512
    • D. 109/512
    • Discuss
    • 6. 
      All the boys are sitting together.

    • Options
    • A. 3/42
    • B. 41/42
    • C. 3/35
    • D. 1/42
    • Discuss
    • 7. 
      A fair coin is tossed 100 times, The probability of getting head an odd number of times is?

    • Options
    • A. 1/4
    • B. 2/3
    • C. 1/2
    • D. 3/4
    • Discuss
    • 8. 
      Out of 15 students studying in a class, 7 are from Maharastra, 5 are from Karnataka and 3 are from Goa, Four students are to be selected at random. What are the chances that at least one is from Karnataka?

    • Options
    • A. 12/13
    • B. 11/13
    • C. 10/15
    • D. 1/15
    • Discuss
    • 9. 
      In a box carrying one dozen of oranges, one third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one oranges out of the three oranges picked up is good?

    • Options
    • A. 1/55
    • B. 54/55
    • C. 45/55
    • D. 3/55
    • Discuss
    • 10. 
      What is the probability that a leap year selected randomly will have 53 Mondays?

    • Options
    • A. 2/7
    • B. 5/7
    • C. 1/7
    • D. Data inadequate
    • Discuss


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