450
Question
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.
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Solution
Let S be sample space of number formed. Then,
S={10,12,13,14,20,21,23,24,30,31,32,34,40,41,42,43}
n(S)=16
Let A be event of prime number. then,
A={13,23,31,41,43}
∴,P(A)=516
S={10,12,13,14,20,21,23,24,30,31,32,34,40,41,42,43}
n(S)=16
Let A be event of prime number. then,
A={13,23,31,41,43}
∴,P(A)=516
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