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Probability

Probability

IP 4

A group of \(60\) students is classified below.

Takes ArtDoes not take ArtTotal
Takes Music\(12\)\(18\)\(30\)
Does not take Music\(8\)\(22\)\(30\)
Total\(20\)\(40\)\(60\)

One student is chosen at random.

  1. Find \(P(\text{Music}\mid\text{Art})\).

  2. Find \(P(\text{Art}\mid\text{Music})\).

  3. Determine whether taking Music and taking Art are independent.

Solution:

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Answer:(a) \(\frac35\). (b) \(\frac25\). (c) Not independent.

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