Answer:
The probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.
Step-by-step explanation:
Given that a box contains 44 table tennis balls having the same shape and size, and among them 33 are black and remaining balls are red, if two balls are drawn randomly one after another without replacement, to show the probability of all possible outcomes the following calculations must be done:
Red + red:
11/44 + 10/43 = 0.25 x 0.2325 = 0.0581
Red + black:
11/44 + 33/43 = 0.25 x 0.7674 = 0.1918
Black + red:
33/44 + 11/43 = 0.75 x 0.2558 = 0.1918
Black + black:
33/44 + 32/43 = 0.75 x 0.7441 = 0.5581
19.18 x 2 = 38.36
Therefore, the probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.
