0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Two digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that
(1) the number formed is an even number.
(2) the number formed is prime number.

Solution
Verified by Toppr

Two-digit numbers are formed from the digits 0,1,2,3,4 without repeating the digits.
Sample space S={10,12,13,14,20,21,23,24,31,32,34,40,41,42,43}
n(S)=16
(1) Let A be the event of getting an even number.
A={10,12,14,20,24,30,32,34,40,42}
n(A)=10
Probability, P(A)=n(A)n(S)=1016=58
(2) Let B the event of getting a prime number.
B={13,23,31,41,43}
n(B)=5
Probability, P(B)=n(B)n(S)=516

Was this answer helpful?
19
Similar Questions
Q1
Two digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that
(1) the number formed is an even number.
(2) the number formed is prime number.
View Solution
Q2
Two digits are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that the number so formed is a prime number.
View Solution
Q3
Two digits are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that the number so formed is an even number.
View Solution
Q4
Two digit number are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability for each of the event that the number formed is an even number.

View Solution
Q5
Two digit number are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability for each of the event that the number formed is greater than 40.

View Solution