Question

a number is selected at ramdom from first 100 whole numbers. find the probability that the number is divisible by 8 or 12​

Answer 1

Answer:

Step-by-step explanation:

first of all we need to find the number of multiples of 7 and 8 between 1 to 100

so the multiples of 7=7,14,21,28,35,42,49,56,63,70,77,84,91,98

so there are 14 multiples of 7 between 1 to 100

and that of 8=8,16,24,32,40,48,56,64,72,80,88,96

so there are 12 multiples of 8 between 1-100

so the multiples common to both=54,i.e. only one

so on adding up both we will find the total number of numbers divisible by either 7 or 8=14+12=26-1 (as 56 is repeated)

so the probability that the number picked out is a multiple of 7 and 8

=25/100

=1/4

HOPE IT HELPS :)