Question

A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random. What is the probability that
a) number on the ticket is a perfect square or divisible by 4?
b) number on the ticket is prime number or greater than 30?

Answer 1

Answer:

Step-by-step explanation:

Prime number upto 50 = 2,3,5,7,11,13,17,19,23,29,31,37,41,43 and 47

Number of primes= 15

Total numbers= 50

P(prime) = 15/50 = 3/10 or 0.3

Answer 2

Answer:

8/25

3/5

Step-by-step explanation:

A bag contains 50 tickets, numbered from 1 to 50. One ticket is drawn at random.

probability that  

a) number on the ticket is a perfect square or divisible by 4?

1 - 50 = 50 numbers

perfect square = 1 , 4 , 9 , 16 , 25 , 36 , 49  = 7 numbers

Divisible by 4  = 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44 , 48 =  12 numbers

perfect square ∪ Divisible by 4  = 1 , 4 , 8 , 9 , 12 , 16 , 20 , 24 , 25 , 28 , 32 , 36 , 40 , 44 , 48 , 49 = 16 Numbers

probability = 16/50 = 8/25

b) number on the ticket is prime number or greater than 30?

Greater than 30 = 31 - 50 = 20 numbers

Prime number till 30 = 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29

Total = 30 Numbers

Probability = 30/50 = 3/5