Answer:
A) 0.30
B) 0.9
C) 0.4
Step-by-step explanation:
Number of balls = 10
A ) probability that a ball drawn at random is numbered 3,4 or 5
number on ball to be drawn = 3 i.e 3,4 or 5
total number of balls = 10
hence the probability = 3 / 10 = 0.30
B ) probability that number written on two different balls drawn at random differs by 2 or more
p( numbers differ by 1 ) = 9 * (1/10) * (1/9) = 0.1
p( numbers on two balls differ by 2 or more ) = 1 - p( numbers differ by 1 )
= 1 - 0.1 = 0.9
C ) Probabilty that the sum of the numbers on 3 balls chosen is even
even numbers = 5 which are ( 2,4,6,8,10 )
The even numbers that can be gotten by summation of three balls are
(4.6,8,10 ) = 4
hence the probability of picking three balls with replacement whose sum = even number will be
= 4 / 10 = 0.4