Question

1. multiple choice you take a quiz with 6 multiple choice ques - tions. after you studied, you estimated that you would have about an 80% chance of getting any individual question right. what are your chances of getting them all right? use at least 20 trials.

Explanation:

Step1: Determine the probability of getting one question right

The probability of getting one question right \( p = 0.8\)

Step2: Use the multiplication rule for independent events

Since the questions are independent, the probability of getting \(n = 6\) questions right is \(P(X = 6)=p\times p\times\cdots\times p\) (6 times). Using the formula \(P(X = n)=p^{n}\), where \(p = 0.8\) and \(n = 6\)

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Answer:

The probability of getting all 6 questions right is \(0.262144\)