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Question
A purse contains 10 notes of ₹ 2000, 15 notes of ₹ 500, and 25 notes of ₹ 200. One note is drawn at random. What is the probability that the note is either a ₹ 500 note or ₹ 200 note?
Options
`1/5`
`3/10`
`2/3`
`4/5`
Solution
`4/5`
Explanation;
Hint:
Sample space (S) = 10 + 15 + 25 = 50
n(S) = 50
Let A be the event of getting ₹ 500 note
n(A) = 15
P(A) = `("n"("A"))/("n"("S")) = 15/50`
Let B be the event of getting ₹ 200 note
n(B) = 25
P(B) = `("n"("B"))/("n"("S")) = 25/50`
Probability of the note is either a ₹ 500 note or ₹ 200 note
P(A) + P(B) = `15/50 + 25/50`
= `40/50`
= `4/5`
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