
Answer: a. 9
b. 1/3
c. 1/4
d. 1/12
Step-by-step explanation:
White balls = 6
Orange balls = 3
a. Total number of balls = 6 + 3
= 9
Total balls in bag = 9
b) Probability that the first ball is orange
= No. of orange balls / Total no. of balls
= 3 / 9
= 1 / 3
c) To give the required probability
If one ball being the orange ball has been taken out then the remainder are,
Total balls = 8
If Orange balls = 2
Therefore the probability that the 2nd ball is also orange, given that the 1st ball was orange will be denoted by,
= P(2nd ball|1st orange)
= 2 / 8
= 1 / 4
d) To give the probability that both the 1st and the 2nd balls are orange you multiple their probabilities.
Probability = 1 / 3 * 1 / 4
= 1 / 12