In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?

Total no. of possible outcomes = 35 {10 prizes, 25 blanks}

E ⟶ event of getting prize

No. of favourable outcomes = 10 {10 prizes}

Probability, P(E) = (No.of favorable outcomes)/(Total no.of possible outcomes) = 10/35 = 2/7

Given: In a lottery there are 10 prizes and 25 blanks.

Required to find: Probability of winning a prize

Total number of tickets is 10 + 25 = 35

Total number of prize carrying tickets is 10

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of winning a prize = 10/35 = 2/7

Total numbers of lottery tickets = 10 + 25 = 35

P(getting a prize) = 10/35 = 2/7

Sample space, n(S) = 35 

Number of events of getting a prize, 

n(E) = 10

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{10}{35}\) = \(\frac{2}{7}\)

Correct Answer - ` 2/7`
Total number of tickets = 10+25 = 35.
Number of prizes = 10.
P(getting a prize) =` 10/35 = 2/7`.