+466 The probability that the thing either would be red or would have white spots or would be red with white spots was 0.80. If the probability of being red was 0.62 and the probability of having white spots was 0.35, what was the probability that it was red and also had white spots?
+23252 So, it can be either red (only) or white spots (only) or red with white spots.
The probability of being any of the above three is 0.80.
The probability of being red (either only red or red with white spots) is 0.62.
The probability of having white spots (either only white spots or red with white spots) is 0.35.
If you add these two probabilities together, you get 0.62 + 0.35 = 0.97.
But, the total probability of all three is just 0.80.
Subtracting 0.97 - 0.80 means that there is an overlap of 0.17.
The overlap is the probability of getting one that is red with white spots. Answer: red with white spots = 0.17.
Red only will be 0.62 - 0.17 = 0.45.
White spots only will be 0.37 - 0.17 = 0.18.
Checking by adding the three probabilities: 0.17 + 0.45 + 0.18 = 0.80.
+23252 So, it can be either red (only) or white spots (only) or red with white spots.
The probability of being any of the above three is 0.80.
The probability of being red (either only red or red with white spots) is 0.62.
The probability of having white spots (either only white spots or red with white spots) is 0.35.
If you add these two probabilities together, you get 0.62 + 0.35 = 0.97.
But, the total probability of all three is just 0.80.
Subtracting 0.97 - 0.80 means that there is an overlap of 0.17.
The overlap is the probability of getting one that is red with white spots. Answer: red with white spots = 0.17.
Red only will be 0.62 - 0.17 = 0.45.
White spots only will be 0.37 - 0.17 = 0.18.
Checking by adding the three probabilities: 0.17 + 0.45 + 0.18 = 0.80.
