Assume that each bag contains 5 balls. Bag a contains 2 red and 3 white, while bag b contains 1 red, 1 white, and 3 blue. You ra
ndomly select one ball from bag a, note the color, and place the ball in bag b. You then select a ball from bag b at random and make note of its color. What is the probability that both balls are red?
Firstly, we calculate the probability of picking a red ball from bag A.
P = number of expected outcomes/number of total outcomes.
P(R1) in bag A = 2/5
Now, we take a ball from bag A and place in bag B. If we selected a red ball, the number of balls in bag B now equals = 2 red balls while the total number of balls now equal 6 balls. Now, the probability is :
P(R2) = 2/6 = 1/3.
The total probability P(R) = P(R1) × P(R2) = 2/5 × 1/3 = 2/15
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere: V = (1/4) (4/3) (π r³) or V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is V = (1/3) (π) (70³) V = 359,189 cubic feet
