Math Problem Statement
in a multiple choice test there are 10 questions, each question has 5 choices, one of which is correct. raj knows absolutely nothing about the subject, and guesses each answer at random. given that the pass mark is 70%, determine the probabilioty that he will pass.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Cumulative Probability
Formulas
P(X = k) = binom(n, k) * p^k * (1-p)^(n-k)
Cumulative Probability: P(X >= k) = P(X = k) + P(X = k+1) + ... + P(X = n)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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