Question
Download Solution PDFIn a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets drawn have prime numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Let A and B are independent events, then
P(A
Calculations:
Give, total number of tickets = 10
Number of tickets drawn = 2
Prime number between 1 to 10 = {2, 3, 5, 7} = 4
A : The event of getting a prime number in the first draw
B : The event of getting a prime number in the second draw
The event A and B are independent events.
P(A) = Probability of getting a prime number in the first draw =
Number of remaining cards in pack = 9
P(B) = Probability of getting a prime number in the second draw =
The probability that both the tickets drawn have prime numbers P(A
=
=
Hence, In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. then the probability that both the tickets drawn have prime numbers is
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