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Suppose 55% of students are female, of which 4/5 (44%) have long hair, and 45% are male, of which 1/3 (15% of all students) have long hair. what is the probability that a student chosen at random will either be female or have long hair (or both)?

Respuesta :

The probability that the student is a female = 55% = 0.55

The probability that the students will have long hair = 44% (Females having long hair) + 15 % (Males having long hair) = 59% = 0.59

The probability that of that being a female is 55%. Please note that all long haired females are already considered in this . Now we have to account for males with long hair which is 15%.

So, the probability that the student chosen at random will either be female or have long hair or both = 55%+15% = 70% = 0.7

So, the probability that the student chosen at random will either be female or have long hair or both = 0.7

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