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A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6,000 tickets are sold, how many tickets has she bought?

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480

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answer is C.

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Detailed Solution

It is given that a girl calculates that the probability of her winning the first prize in a lottery is 0.08 . So,

P (A) = 0.08

.
She has sold 6000 tickets.
So,

n (S) = 6000

.
For an event A the probability of an event P(A) is represented as,

P (A) = Number of favourable outcomes Total number of outcomes

Let

n (A)

be the number of tickets she bought,
As,

P (A) = n (A) n (S),

So, the number of tickets she bought is,

n (A) = n (S) × P (A)

.
So, the number of tickets she bought is,

n (A) = 6000 × P (A) = 6000 × 0.08 = 480

Therefore, she bought 480 tickets.
Hence, the correct option is 3.

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