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
