Abag contains 7 red marbles, 3 blue marbles and 2 green. if two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?

0.0455

Step-by-step explanation:

The formula for calculator probability is

# of favorable outcomes / # of possible outcomes

The total number of marbles in the bag:

7+3+2=12

Probability of the first marble being blue:

3/12

Probability of the second marble being blue:

2/11 -- 2 because only 2 blue marbles left after drawing the first one out, 11 because after taking the first marble out, we have 11 marbles left in the bag

Formula for both events happening:

p(A and B) = p(A) * p(B)

In this problem,

A = first one blue

B = second one blue

Probability that if two marbles are drawn out of the bag, both are blue:

3/12 x 2/11 = 0.045454

Rounded

0.0455 (or 4.55%)

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.

b. 2 and 4

step-by-step explanation: