Question

Cards numbered 1 to 30 are put in a bag . A card is drawn at random from this bag find the probability that the no. On drawn card is 1) a prime no. Greater then 7 2)not a perfect square no.

Answer 1

1 ) Total outcomes = 30

Favourable outcomes of getting a prime number greater than 7 = 6 { 11, 13, 17, 19, 23, 29 }

P ( x ) = Favourable outcomes / Total outcomes

P ( getting a prime number greater than 7 ) = 6 / 30 = 1 / 5

2 ) Total outcomes = 30

Favourable outcomes of getting not a perfect square = 25 { 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30 }

P ( x ) = Favourable outcomes / Total outcomes

P ( getting not a perfect square ) = 25 / 30 = 5 / 6

^^"

Answer 2

s={ 1,2,3....30}
nS= {30}
1) event a is card drawn is prime number
a ={ ,7,11,13,17,19,23,29}
na ={ 7}
pa=7/30


the event b is card drawn is not a perfect square
b={2,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30}
nb={25}
pb=25/30=5/6