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Chapter 14 Class 11 Probability | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
Out of \(100\) students in Class XI, two sections of \(40\) and \(60\) students are formed. If you and your friend are among the \(100\) students, what is the probability that you both enter DIFFERENT sections?
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Question 2 of 5
In a class of 60 students, 30 opted for Mathematics, 25 opted for Physics, and 10 opted for both. If a student is selected at random, what is the probability that the student opted for NEITHER Mathematics NOR Physics?
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Question 3 of 5
A letter is chosen at random from the word "ASSASSINATION". What is the probability that the chosen letter is a vowel?
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Question 4 of 5
Consider the Venn diagram below showing events \(A\) and \(B\) in sample space \(S\). Given \(P(A) = 0.60\), \(P(B) = 0.45\), and \(P(A \cup B) = 0.75\), find the probability of the event '\(A\) occurs but \(B\) does not occur' (\(P(A \cap B')\)).
SA - BA∩BB - A
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Question 5 of 5
A particle starts at position \(0\) on a number line. In each step, it moves either \(+1\) or \(-1\) with equal probability \(\frac{1}{2}\). What is the probability that the particle returns to position \(0\) after EXACTLY \(4\) steps?
0+1+2-1-2
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