A bag contain 3 black balls and 2 white balls. 1. A ball is taken from the black and then replaced, a second is taken. what is the probabilities that.

(a) there are both black,
(b)one is black one is white,
(c) at lease one is black,
(d) at most one is one is black.

2. find out if all the balls are chosen without replacement.

please kindly solve with explanation. thank you.​

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

1)

a)

b)

c)

Probability of at least one black( means BB or BW or WB)

d)

Probability of at most one black ( means WW or WB or BW)

2)

a) Probability both black without replacement

b) Probability  of one black and one white

c) Probability of at least one black ( BB or BW or WB)

d) Probability of at most one black ( BW or WW or WB)

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

or