Two digit numbers are formed from the digits 0,1,2,3,4, where the digits are not
repeated. Find the probability that the number so formed is a prime numbers.
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Answer:
hey mate here is your answer thank you
Step-by-step explanation:
→ 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) = 10/16 = 5/8
→ (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) = 5/16
thank you
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