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After Cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. She estimates that there is a chance that it will be too cold and a chance that it will be too hot.What is the probability that Cynthia's morning porridge will be just right?Choose answer:(A) (B) (C) (D)
Full solution
Q. After Cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. She estimates that there is a chance that it will be too cold and a chance that it will be too hot.What is the probability that Cynthia's morning porridge will be just right?Choose answer:(A) (B) (C) (D)
- Question Prompt: The question prompt is: ＂What is the probability that Cynthia's morning porridge will be just right?＂
- Calculate Probability: Since there are only three possible outcomes for the temperature of Cynthia's porridge (too cold, just right, or too hot), and the probabilities of these outcomes must add up to , we can calculate the probability of the porridge being just right by subtracting the probabilities of the other two outcomes from .
- Calculate Combined Probability: The probability that the porridge is too cold is given as , and the probability that it is too hot is given as . We add these probabilities to find the combined probability of the porridge not being just right. (too cold) + (too hot) = (not just right)
- Subtract to Find Probability: Now, we subtract the combined probability of the porridge not being just right from to find the probability of it being just right. (total probability) - (not just right) = (just right)
