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zlopas [31]
3 years ago
10

A test has 6 multiple choice questions, each with 4 alternatives. What is the probability of guessing 5 or more questions correc

tly?
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

0.0009765625‬

Step-by-step explanation:

Each multiple choice question has 4 equally likely alternatives.

Hence, probability of guessing the right answer for 1 question is \[\frac{1}{4}\] = 0.25

Hence, probability of guessing the wrong answer is \[\frac{1}{4}\] = 0.75

The probability of guessing 5 or more questions correctly = probability of guessing 5 questions correctly & 1 question wrong + probability of guessing 6 questions correctly

= \[0.25^{5}*0.75+0.25^{6}\]


= 0.000732421875 + 0.000244140625

= 0.0009765625‬

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