Two digit number are formed from the digits 0,1,2,3,4, where digits are not repeated. Find the probability of the events that a] the number formed is prime number b] the number formed is an even num. C] the number formed is greater than 40.
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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(S)
n(A)
=
16
10
=
8
5
(2) Let B the event of getting a prime number.
B={13,23,31,41,43}
∴n(B)=5
Probability, P(B)=
n(S)
n(B)
=
16
5
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