Advertisement Remove all ads

If Three Dice Are Throw Simultaneously, Then the Probability of Getting a Score of 5 is (A) 5/216 (B) 1/6 (C) 1/36 (D) None of These - Mathematics

MCQ

If three dice are throw simultaneously, then the probability of getting a score of 5 is

Options

  • 5/216

  • 1/6

  •  1/36

  •  none of these

     
Advertisement Remove all ads

Solution

 1/36

When three dice are thrown together, the sample space S associated with the random experiment is given by
S = {(1, 1, 1), (1, 1, 2), (1, 1, 3) ...(6, 6, 5), (6, 6, 6)}
Clearly, total number of elementary events n(S) = 216

Let A be the event of getting a total score of 5.
Then A = { (1, 1, 3), (1, 3, 1), (3, 1, 1), (1, 2, 2), (2, 1, 2), (2, 2, 1)}
∴  Favourable number of elementary events = 6
i.e. n(A) = 6
Hence, required probability = \[\frac{6}{216} = \frac{1}{36}\]

 

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Q 16 | Page 72
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×