two digits numbers are formed from the digits 0,1,2,3 where repetition of digit are allowed find the probability of the events 1. the number is composite 2. the number is multiple of 5
Answers
Answer:
Numbers are:
10,11,12,13,14,20,21,22,23,24,30,31,32,33,34,40,41,42,43,44
1) Prime number
11,13,23,29,31,37,41,43
P=
20
8
2)Multiple of 4
12,16,20,24,28,32,36,40,44
P=
20
9
3)Multiple of 11
11,22,33,44
P=
20
4
Answer:
3/16 ,1/2
Step-by-step explanation:
Here is the random experiment is to form two digit numbers using 0,1,2,3 where did repeatition of digits are allowed i.e. with replacement.
We are to fill up two places for two digit numbers.
Number of all possible outcomes= ways to fill up tenth's place X ways to fill up unit's place
= (5x5)=25
1. Our favourable event is that the number is composite.
[Composite no.- composite numbers are those numbers which are divisible by more than two factors. For example, 4,12,15 etc. are composite numbers but 1,3,13 are not composite numbers.]
Numbers of favourable outcomes= (10,12,20,21,30,32,33,22)
=8
So, required probability=8/16
=1/2.
2. Our favourable event is that the number is multiple of 5 or divisible by 5.
Number of favourable outcomes=(For the tenth's place numbers can be chosen in 3 ways x For the unit's place numbers can be chosen in 1 way )
=(3 x1)=3
So, required probability=3/16.