Question

card numbered 1 to 30 are put in a bag.A card is drawn at random from this bag. find the probability that the number on the drawn card is: (1) not divisible by 3 (2) a prime number greater than 7 (3) not a perfect square number.

Answer 1

the right answer is 1. 1/3
2. 7/30
3. 26/30

Answer 2

Answer:

Step-by-step explanation:

1) The numbers that are not divisible by 3 between 1 and 30 are :

1, 2,4,5,7,10,11,13,14,16,17,19,20,22,23,25,26,28,29

P(Numbers not divisible by 3) = 19/30

2) Prime number greater than 7

The prime numbers greater than 7 between 1 and 30 are :

11,13,17,19,23,29

P(Prime number greater than 7) = 6/30 = 1/5

3) Not a perfect square number.

The perfect squares between 1 and 30 are :

1, 4, 9, 16,25

The rest are not perfect squares

P(Perfect squares) = 5/30 = 1/6

P(not a perfect square) =  1 - P(perfect square)

= 1 - 1/6

= 6/6 - 1/6 = 5/6