The probability that Juliana will take jazz on Saturday morning based on the decision tree given is 3%.
What is the probability that jazz is taken on Saturday morning?
The probability that jazz is taken is:
= 1 - Probability of ballet
= 1 - 70%
= 30%
The probability that if jazz is taken, it will be taken on Wednesday is:
= Probability that jazz is taken on Wednesday night / Probability that Jazz is taken
= 27% / 30%
= 90%
The probability that Jazz is taken on Saturday morning is therefore:
= Probability that jazz is taken x (1 - Probability of Wednesday night)
= 0.3 x ( 1 - 90%)
= 3%
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