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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. $$\frac{{1}}{{2}}$$

B. $$\frac{{2}}{{5}}$$

C. $$\frac{{8}}{{15}}$$

D. $$\frac{{9}}{{20}}$$

Answer: Option D

Solution(By Examveda Team)

Here, S = {1, 2, 3, 4, ...., 19, 20}
Let E = event of getting a multiple of 3 or 5
= {3, 6 , 9, 12, 15, 18, 5, 10, 20}
$$\therefore P\left( E \right) = \frac{{n\left( E \right)}}{{n\left( S \right)}} = \frac{9}{{20}}$$

This Question Belongs to Arithmetic Ability >> Probability

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Comments ( 9 )

  1. Hongkam L
    Hongkam L :
    9 months ago

    Okay I got it

  2. OPIO LAWRENCE
    OPIO LAWRENCE :
    1 year ago

    What is multiple of a number?

  3. Mahesh
    Mahesh :
    1 year ago

    Hw 9 comes

  4. UMAR ABDALLAH
    UMAR ABDALLAH :
    2 years ago

    How

  5. Deependra Jain
    Deependra Jain :
    4 years ago

    This is a Joint Probability question and formula to calculate joint probability is :
    P(A or B) = P(A) + P(B) - P(A and B)
    Here P(A) = Value of Multiple of 3 are {3,6,9,12,15,18} / Sample space = 6/20
    P(B) = Value of Multiple of 5 are {5,10,15,20} / Sample space = 4/20
    P(A and B) = Common favorable events between A and B are {15} = 1/20

    As per formula P(A or B) = 6/20 + 4/20 - 1/20 = 9/20

  6. Luxury Ride
    Luxury Ride :
    4 years ago

    Where is 15? multiple of 5

  7. Shishir Singh
    Shishir Singh :
    5 years ago

    5 will have to be there, and then the answer would be 2/5.
    Why don't you guys just correct it.

  8. Shahrima Sonam
    Shahrima Sonam :
    5 years ago

    3 is not a multiple of 3. so why 3 is here. And if it is why 5 is not?

  9. Cool Dude
    Cool Dude :
    6 years ago

    KINDLY EXPLAIN MORE

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