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b Now, we are asked to find the probability of getting a red card or the number 5 if a card is chosen randomly. Since the number five is a yellow card, the events are mutually exclusive. Again, we first need to find P(red) and P(5).
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c Now, we are asked to find the probability of getting a red card or a yellow card if a card is chosen randomly. Since a card cannot be red and yellow at the same time, the events are mutually exclusive. Again, we first need to find P(red) and P(yellow).
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d Finally, we are asked to find the probability of getting a yellow card or a letter if a card is chosen randomly. Note that the card with the letter B is also yellow. Thereforewe have overlapping events. If A and B are overlapping events, P(AorB) is given as follows.
P(AorB)=+P(A)+P(B)−P(AandB)
Let's set A=yellow and B=letter. We can now rewrite the given formula as follows.
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