A bag of jelly beans contains 10 red 6 green 7 yellow and 5 orange jelly beans. The probability of randomly choosing a red jellybean followed by an orange one, if the pickup jelly is replaced, is 25/392.
Probability of an event is defined as:
Probability(event A) = number of ways the event A can happened / total possible outcomes.
Suppose an event A and B are independent, then
P(A and B) = P(A) x P(B)
In the given problem, since the jelly is replaced after being picked up, then the occurrences that the chosen jelly is a red one and a orange one are independent events.
Total jelly = 10 + 6 + 7 + 5 = 28
P(red) = 10 / 28
P(orange) = 5/28
P(red, orange) = 10/28 x 5/28 = 50/784 = 25/392.
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