Explanation Probability is a ratio of number of favourable outcome to the number of total outcome. In out question, we are going to find the probability of picking a blue ball from each urn.
In urn I P(b) = 6/(6+4) = 6/10 = 3/5
In urn II P(b) = 2/(6+2) =2/8 = 1/4
Probability of picking a blue ball from urn I and urn II will be;
Event: Ball drawn from Urn I is blue: A Event: Ball drawn from Urn II is blue: B
Probability that both balls are blue=Probability that ball drawn from Urn I is blue and ball drawn from Urn II is blue
Probability that both balls are blue = P(A ∩ B)
These events are independent, then: P(A ∩ B)=P(A) P(B)
P(A)=(Number of blue balls in Urn I)/(Total number of balls in Urn I) Total number of balls in Urn I=4 green +6 blue=10 P(A)=6/10 Simplifying the fraction: Dividing the numerator and denominator by 2: P(A)=(6/2)/(10/2) P(A)=3/5
P(B)=(Number of blue balls in Urn I))/(Total number of balls in Urn II) Total number of balls in Urn II=6 green +2 blue=8 P(B)=2/8 Simplifying the fraction: Dividing the numerator and denominator by 2: P(B)=(2/2)/(8/2) P(B)=1/4
