CBSE Class 10 Answered
if 4 whole numbers taken at random are multiplied together then the chance that the last digit in the product is 1,3,7,9 is
Asked by | 04 Feb, 2011, 08:40: AM
Expert Answer
There are 10 digits 0,1,2,........9 any of which can occur in any number at the last place.
It is obvious that if the last digit in any of the four numbers is 0,2,4,5,6,8 then product of any such four numbers will not give a number having it's last digit as 1,3,7,9. Hence, it is necessary that the last digit in each of the four numbers must be any of the four digits 1,3,7,9.
Thus, for each of the four numbers,
the number of ways for the last digit = 10
favourable number of ways = 4
therefore, the probability that the last digit is any of the four numbers 1,3,7,9 = 4/10 = 2/5
Hence, the required probability that the last digit in each of the four numbers is 1,3,7,9 so that the last digit in their product is 1,3,7,9 = (2/5)4 = 16/625.
It is obvious that if the last digit in any of the four numbers is 0,2,4,5,6,8 then product of any such four numbers will not give a number having it's last digit as 1,3,7,9. Hence, it is necessary that the last digit in each of the four numbers must be any of the four digits 1,3,7,9.
Thus, for each of the four numbers,
the number of ways for the last digit = 10
favourable number of ways = 4
therefore, the probability that the last digit is any of the four numbers 1,3,7,9 = 4/10 = 2/5
Hence, the required probability that the last digit in each of the four numbers is 1,3,7,9 so that the last digit in their product is 1,3,7,9 = (2/5)4 = 16/625.
Answered by | 07 Feb, 2011, 10:08: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by aadityaanand2008 | 02 Jan, 2023, 11:22: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kavitajasmine12345 | 02 Jan, 2022, 11:45: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Trisha Gupta | 23 Sep, 2021, 06:57: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by shwetarai12345678910 | 12 Oct, 2020, 06:24: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by acshanadhana15 | 06 Aug, 2020, 01:53: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by drhimasingh | 09 Mar, 2020, 11:06: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by officialmehak26 | 03 Feb, 2020, 03:02: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by officialmehak26 | 02 Feb, 2020, 08:08: PM
ANSWERED BY EXPERT