Question

A box contains 80 discs numbered from 1 to 80. If one disc is drawn at random from the box,
find the probability that it bears.
[i]. a perfect square number.
[ii]. a number divisible by 2 and 3.​

Answer 1

Answer:

Step-by-step explanation:

total outcomes = 80

(i) favourable outcomes = 1,4,9,16,25,36,49,64

= 8

p(getting a perfect square) = 8/80 = 1/10

(ii) favourable outcomes = 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,36,38,39,40,42,44,45,46,48,50,51,52,54,56,57,58,60,62,63,64,66,68,69,70,72,74,75,76,78,80

= 53

p(getting a number divisible by 2 and 3) = 53/80

Answer 2

Answer:

1)1/10

2)33/40

Step-by-step explanation:

1) there are 8 perfect square numbers between 1 and 80

⇒ probability = 8/80

                      = 1/10

2) no. of numbers divisble by 2 = 40

   no. of numbers divisible by 3 = 26

total numbers = 66

probability = 66/80

                  = 33/40