The table below shows a random sample of musicians and how they learned to play their instruments.Gender Self-taught Studied in School Private Instruction TotalFemale 12 31 24 67Male 16 26 21 63Total 28 57 45 130Find P(musician is a male AND had private instruction). (Enter your probability as a fraction.)P(musician is a male AND had private instruction) =
Question
The table below shows a random sample of musicians and how they learned to play their instruments.Gender Self-taught Studied in School Private Instruction TotalFemale 12 31 24 67Male 16 26 21 63Total 28 57 45 130Find P(musician is a male AND had private instruction). (Enter your probability as a fraction.)P(musician is a male AND had private instruction) =
Solution
To find the probability that a musician is a male and had private instruction, we need to divide the number of males who had private instruction by the total number of musicians.
From the table, we can see that the number of males who had private instruction is 21 and the total number of musicians is 130.
So, the probability P(musician is a male AND had private instruction) = 21/130.
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