An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the
experiment is repeated 75 times, with the following results:
red 38
blue 23
green 11
yellow 3
Suppose it is known that there is a total of 300 marbles in the bag. Estimate the number of each color of marble.
a red 152; blue 92; green 44; yellow 12
C. red 150; blue 85; green 40; yellow 10
red 100; blue 95; green 60; yellow 15
d. red 130; blue 91; green 53; yellow 19

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)