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Suppose that 10,000 tickets are sold in one lottery and 5000 in another. if a person buys 100 tickets in each lottery, what is the chance she will win one first prize?
a.0.0098
b.0.0298
c.0.0002
d.0.0300

Respuesta :

100 tickets are purchased in each lottery.

The chance of winning the first price in the 10,000-tickets lottery is
100/10000 = 10⁻²

The chance of winning the first price in the 5,000-tickets lottery is
100/5000 = 2 x 10⁻²

The two purchases are independent events, therefore the chance of winning the first price is
10⁻²*(2 x 10⁻²) = 2 x 10⁻⁴ = 0.0002

Answer: c.
The probability is 0.0002

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