In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2/7
When every ticket is equally likely to be drawn, probability = number of favourable tickets ÷ total number of tickets. The blanks are tickets too, so they count in the total.
Total number of tickets, prizes and blanks together: \(10+25=35\)
Tickets that carry a prize: 10
Probability of drawing a prize: \(\displaystyle\frac{10}{35}=\frac{2}{7}\)