Question

Cards marked with number 2 to 151 are placed in a box are mixed thoroughly.one card is drawn at random from this box.find the probability that the number on card is
A prime number less than 75
An odd number
A number which is a perfect square

Answer 1

probability of the prime number less than 75 is 20
probability of the odd number is 76

Answer 2

Answer:

Step-by-step explanation:

Hi,

Given that cards are marked with number 2 to 151.

Let 'A' be the event drawing a prime number less than 75.

One card is drawn out of 150 cards in a box, so total possible ways of

drawing  a card = 150.

Since there 21 prime numbers which are less than 75, the prime number

could be drawn in 21 ways, so Number of favorable ways are 21

P(A) = 21/75 = 7/25

Hence Probability of drawing a prime number is 7/25.

Let 'B' the event of drawing an odd number

Since there are 75 odd numbers starting from 3 till 151, number of

favorable ways = 75

P(B) = 75/150

= 1/2

Hence, Probability of drawing an odd number  is 1/2.

Let 'C' be the event of drawing a perfect square

Since there  are 11 perfect squares starting from 4 = 2² till 144 = 12²,

Number of favorable events are 11

P(C) = 11/150

Hence, Probability of drawing a perfect square = 11/150

Hope, it helps!