GATE 2018 CE (CE2) – Question 29

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Numerical answer

A box contains 5 red balls and 1 white ball. The probability of consecutively drawing 3 red balls without replacement, to one decimal place, is ______.

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Correct answer: 0.5 to 0.5

Explanation

Without replacement, multiply the conditional probabilities: $(5/6)(4/5)(3/4)=1/2=0.5$.