27)Cards are marked with numbers 3,4,5 50 are placed in a box and mixed thoroughly One card is - Maths - Probability

Question

27)Cards are marked with numbers 3,4,5… 50 are placed in a
box and mixed thoroughly One card is drawn at random from the box
Find the probability that the drawn card is (T Test)
i)a prime number ii)a number which is not a perfect square iii)a
number which is divisible by 2 and 3

Manbar Singh · Accepted Answer

Let S be the sample space
Now, S = 3,4,5,6,7, ,50nS = 481
Let E be the event of getting a card bearing prime number
    E = 3,5,7,11,13,17,19,23,29,31,37,41,43,47nE = 14PE = nEnS = 1448 = 7242
Let F be the event of getting a card bearing a perfect square number
F = 4,9,16,25,36,49nF = 6PF = nFnS = 648 = 18Now, PF = 1 - PF = 1 - 18 = 783
Let G be the event of getting a card bearing a number that is divisible by 2 and 3 both
G = 6,12,18,24,30,36,42,48⇒nG = 8Now, PG = nGnS = 848 = 16

27)Cards are marked with numbers 3,4,5….50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the drawn card is (T Test)i)a prime number ii)a number which is not a perfect square iii)a number which is divisible by 2 and 3.

27)Cards are marked with numbers 3,4,5….50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the drawn card is (T Test)
i)a prime number ii)a number which is not a perfect square iii)a number which is divisible by 2 and 3.