In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\displaystyle\frac{2}{7}\)
Probability = favourable outcomes ÷ total outcomes. Every ticket is equally likely to be drawn, and a ticket is either a prize or a blank.
Total tickets \(=10+25=35\)
P(prize) \(=\displaystyle\frac{10}{35}=\frac{2}{7}\)
Tip: A probability can never be more than 1, so \(\displaystyle\frac{7}{2}\) and \(\displaystyle\frac{7}{5}\) can be struck out at sight.