Tickets numbered 4, 5, 648, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is: (i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.

i) The probability that the number on the ticket is even is

ii) the probability that the number on the ticket is a number less than 16 is

iii) The probability that the number on the ticket is a perfect square is

iv) the probability that the number on the ticket is a prime number less than 30 is

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is:

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

So, the probability that the number on the ticket is an even number is

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is:

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

So, the probability that the number on the ticket is a number less than 16 is

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is:

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

So, the probability that the number on the ticket is a perfect square is

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is:

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

So, the probability that the number on the ticket is a prime number less than 30 is

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step-by-step explanation:

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step-by-step explanation:

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