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CBSE Class 9 Answered

on one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit's digit is given in the following table: Unit's digit                   0     1     2     3     4     5     6     7     8     9 Frequency                 22     26    22   22   20  10   14    28   16    20 out of the numbers on the page, a number is chosen at random. What is probablity that the unit's digit of the chosen number is  (i) 6? (ii) a nonzero multiple of 3? (iii) a nonzero even number? (iv) An odd number? Give reason for your answer.
Asked by gspublicschool | 09 Oct, 2018, 07:10: AM
answered-by-expert Expert Answer
i) Acoording to the question,
Let A be the event that getting a number whose unit's digit  is 6.
n(A) = 14 and n(S) = 200
P(A) = 14/200 = 7/100
 
ii) A non zero multiple of 3.
Let B be the event that getting a non zero multiple of 3 at unit's place
n(B) = 22 + 14 + 20 = 56
P(B) = 56/200 = 7/25
 
iii) Let C be the event that getting non zero even number
n(C) = 22 + 22 + 20 + 14 + 16 = 94
P(C) = 94/200 = 47/100
 
iv) Let D be the vent that getting odd number at unit's place.
n(D) = 26 + 22 + 10 + 28 + 20 = 106
n(D) = 106/200 = 53/100
Answered by Sneha shidid | 12 Oct, 2018, 10:02: AM

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