The events are independent and capable of simultaneous occurrence.

The rule of multiplication would be applied. The probability that

(i)both the balls were black = (5/12) x (5/12) = (25/144)

(ii) both the balls were white = (7/12) x (7/12) = (49/144)

(iii) the first was white and second black = (7/12) x (5/12) = (35/144)

(iv) the first was black and second white = (5/12) x (7/12) = (35/144)

2.

A bag contains 5 red and 8 black balls. Two draws of three bal!s each are made, the ball being replaced after the first draw. What is the chance that the balls were red in the first draw and black in the second?

(i)A leap year has 366 days so it has 52 complete weeks and 2 more days. The two days can be {Sunday and Monday, Monday and Tuesday, Tuesday and Wednesday, Wednesday and Thursday, Thursday and Friday, Friday and Saturday, Saturday and Sunday}, i.e. n(E) = 7.

Out of these 7 cases, cases favorable for more Sundays are

{Sunday and Monday, Saturday and Sunday}, i.e., n(E) = 2

p(E) = 2/7

(ii)When the year is not a leap year, it has 52 complete weeks and

1 more day that can be {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}, n(S) = 7

Out of these 7 cases, cases favorable for one more Sunday is

{Sunday}, n(E) = 1

.:. P(E) = 1/7

10.

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings