alleryStart learning →Probability of a certain event:
- 0
- 1
- 1/2
- Negative
Show answer and solution
Correct answer: B. 1
P(certain event) = 1. P(impossible event) = 0. Probabilities lie in [0, 1].
Sum over all mutually exclusive complete outcomes = 1.
AMUEEE Linear Programming — practice questions — page 3
Explore 134 free Linear Programming questions in AMUEEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Linear Programming with Quill →Linear Programming questions and exercises with answers
Showing questions 61–90 of 134.
Probability of a certain event:Read the answer and worked solution →Probability of rolling a 6 on a fair die:Read the answer and worked solution →For independent events A and B, P(A and B) equals:Read the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →Complete the conditions for a partitionRead the answer and worked solution →True or false: independence versus exclusivityRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Tap every statement that follows from independenceRead the answer and worked solution →The multiplication ruleRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the theorem of total probabilityRead the answer and worked solution →Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: the multiplication ruleRead the answer and worked solution →True or false: the Historical NoteRead the answer and worked solution →Sort each statement by which idea it describesRead the answer and worked solution →Match each kind of matrix to its conditionRead the answer and worked solution →
Worked practice questions
Probability of rolling a 6 on a fair die:
- 1/2
- 1/3
- 1/4
- 1/6
Show answer and solution
Correct answer: D. 1/6
P(6) = 1/6 for a fair die.
6 equally likely outcomes, 1 favorable.
For independent events A and B, P(A and B) equals:
- P(A) + P(B)
- P(A) - P(B)
- P(A) × P(B)
- P(A) / P(B)
Show answer and solution
Correct answer: C. P(A) × P(B)
**Independent events:** P(A and B) = P(A) × P(B).
**For dependent events:** P(A and B) = P(A) × P(B|A).
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