cards marked numbers 2 to 101 are placed in a box and mixed thoroughly one card is drawn from the box find the probability that the number on the card is:
(1) An even numbers
(2) A number less than 14
(3) A number which is a perfect square
(4) A prime number less than 20
Answers
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1 find sample space
s=( 2,3,4......101)
n(s)=100
1 event is even no ie event A
A =(2,4,6....8)
N(A) = 50
P(A)=N(A)
- N(S)
- =50÷100
- =1/2
- EVENT B IS TO FIND PROBABILITY OF NUMBER LESS THAN 14
B = (2,3,4,......13)
N(B)=12
P(B)=N(B)
N(S)
=12÷ 100
=3/25
- EVENT C IS DEPICTING A SET OF PERFECT SQUARE NUMBERS
C= ( 4,9,16,25,36,49,64,81,100)
N(C) =9
P(C)= N(C)
N(S)
=9/100
- EVENT D SHOWS PRIME NO LESS THAN 20
D= ( 2,3,5,7,11,13,17,19)
N(D)= 8
P( D ) = N(D)
N(S)
= 8/100
=2/25
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