2. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from
the box, find the probability that it bears
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e), a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j), a two digit number divisible by 3.
k), a two digit number divisible by 4.
1). a two digit number perfect square.
m). neither divisible by 5 nor 10.
n). neither divisible by 2 nor 5.
o). neither divisible by 3 nor 5.
p). a perfect cube number.
q). a prime number
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
DOKS
Answers
Total number of discs = 90.
a). a two-digit number = 81/90 = 9/10
b). a perfect square number = 9/90 = 1/10
c). a number divisible by 5 = 18/90 = 2/10
d). a number divisible by 2 or 3 = 75/90 = 5/6
e), a number divisible by 2 and 3 = 15/90 = 1/6
f). a number divisible by 7 = 12/90 = 2/15
g). a number multiple of 8 = 11/90
h). a two digit number divisible by 5 = 16/90 = 8/45
i). a two digit number divisible by 2 = 41/90
j), a two digit number divisible by 3 = 27/90 = 3/10
k), a two digit number divisible by 4 = 20/90 = 2/9
l). a two digit number perfect square = 7/90
m). neither divisible by 5 nor 10 = 72/90 = 8/10
n). neither divisible by 2 nor 5 = 54/90 = 6/10
o). neither divisible by 3 nor 5 = 42/90 = 7/15
p). a perfect cube number = 4/90 = 2/45
q). a prime number = 26/90 = 13/45
r). a two digit prime number = 22/90 = 11/45
s). an even prime number = 1/90
t). a number is not divisible by 5 = 72/90 = 8/10
u). a number is not divisible by 3 = 60/90 = 2/3
v). a number is not divisible by 2 and 3 = 75/90 = 5/6
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@spyder
1. 9/10
2. 1/10
3. 2/10
4. 5/6
5. 1/6
6. 2/15