Question

There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A
disc is drawn at random from the box. Find the probability that the number on the dicr
i)an odd number (ii) divisible by 2 and 3 both (iii) a number less than 16​

Answer 1

There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A  disc is drawn at random from the box.

the probability that the number on the dicr

i)an odd number = 13/25 (ii) divisible by 2 and 3 both = 4/25 (iii) a number less than 16​ 3/5

• the probability that the number on the dicr
• i)an odd number
• = { 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }
• There are a total of 13 odd numbers between 1 to 25.
• Therefore the probability that the number on disc is an odd number is 13/25
• (ii) divisible by 2 and 3 both
• = { 6, 12, 18, 24 }
• There are a total of 4 numbers divisible by 2 and 3 both  between 1 to 25.
• Therefore the probability that the number on disc divisible by 2 and 3 both is 4/25
• (iii) a number less than 16​
• = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
• There are a total of 15 numbers less than 16.
• Therefore the probability that the number on disc is less than 16 is 15/25 = 3/5

Answer 2

Probability that the number on the disc,

( i ) An odd number = $\frac{13}{25}$

( ii ) Divisible by 2 and 3 both = $\frac{4}{25}$

( iii ) A number less than 16 = $\frac{3}{5}$

To find : Probability that the number on the disc,

              ( i ) An odd number

              ( ii ) Divisible by 2 and 3 both

              ( iii ) A number less than 16

Given :

There are 25 discs numbered from 1 to 25.

Probability of total discs = 25

Probability ( Total discs = 25 )

= {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}.

( i ) An odd number :

Probability of an odd number = { 1,3,5,7,9,11,13,15,17,19,21,23,25 }

P ( Odd number ) = $\frac{Total \ number \ of \ odd \ number}{Total \ number \ of \ discs}$

Total number of odd number = 13.

Total number of discs = 25.

P ( Odd number ) = $\frac{13}{25}$

( ii ) Divisible by 2 and 3 both :

Probability of divisible by  both 2 and 3 = { 6,12,18,24 }

P ( Divisible by both 2 and 3 )

                                  = $\frac{Total \ number \ of \ divisible \ by \ both \ 2 \ and \ 3}{Total \ number \ of \ discs}$            

Total number of odd number = 4.

Total number of discs = 25.

P ( Divisible by 2 and 3 ) = $\frac{4}{25}$

( iii ) A number less than 16 :

Probability of a number less than 16

                       = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 }

P ( A number less than 16 )

                       = $\frac{Total \ number \ of \ number \ less \ than \ 16}{Total \ number \ of \ discs}$

Total number less than 16 = 15.

Total number of discs = 25.

P ( A number less than 16 ) = $\frac{15}{25}$

P ( A number less than 16 ) = $\frac{3}{5}$

Hence, given data has found.

To learn more...

1. A box contain 90 discs, numbered from 1 to 90.if one disc is drawn at random from the box. find the probability that it bears(i)a prime number less than 23 (ii)a perfect square number.

brainly.in/question/2739473

2. A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

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