Answer:
P(making 3 wrong guesses) = 27/64
P(making 3 right guesses) = 1/64
Step-by-step explanation:
Number of possible answers per question = 4
Number of right answer per question = 1
Number of wrong answers per question = (4 - 1) = 3
Probability = (Number of required outcomes / Number of Total possible outcomes)
A.) probability of guess 3 questions wrong :
Probability of making a wrong guess = (number of wrong options / total number of options
P(making a wrong guess) = 3/4
Therefore,
P(making 3 wrong guesses) = 3/4 × 3/4 × 3/4 = (27/64)
B.) probability of making 3 right guesses:
P(making a right guess) = (number of right options per question / total number of options per question)
P(making a right guess) = 1/4
P(making 3 right guesses) =(1/4 × 1/4 × 1/4) = 1/64
