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Questions in: Probability

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Q1: If E and F are two independent events su... Q2: If E and F are two events such that \(P(... Q3: If \(P(A\cup B)=0.9\) and \(P(A\cap B)=0... Q4: A box has 4 green, 8 blue and 3 red pens... Q5: If \(P(A)=\frac{1}{7}\), \(P(B)=\frac{5}... Q6: A coin is tossed and a card is selected ... Q7: If \(P(A|B)=P(A^{\prime}|B)\), then whic... Q8: Let E be an event of a sample space S of... Q9: Let E and F be two events such that \(P(... Q10: If A and B are events such that \(P(A/B)... Q11: If $P(A) = \frac{1}{2}$, $P(B) = 0$, the... Q12: If $A$ and $B$ are events such that $P(A... Q13: The probability of obtaining an even pri... Q14: Two events $A$ and $B$ will be independe... Q15: Probability that A speaks truth is $\fra... Q16: If $A$ and $B$ are two events such that ... Q17: If A and B are two events such that $P(A... Q18: If $P(A|B) > P(A)$, then which of the fo... Q19: If A and B are any two events such that ... Q20: 10 identical blocks are marked with '0' ... Q21: The probability distribution for the num... Q22: For the vacancy advertised in the newspa... Q23: A die with number 1 to 6 is biased such ... Q24: Two dice are thrown. Defined are the fol... Q25: Find the probability distribution of the... Q26: A coin is tossed twice. Let X be a rando... Q27: The probability that a student buys a co... Q28: A person has a fruit box that contains ... Q29: A person is Head of two independent sele... Q30: A card from a well shuffled deck of 52 p... Q31: A biased die is twice as likely to show ... Q32: A pair of dice is thrown simultaneously.... Q33: E and F are two independent events such ... Q34: The chances of P, Q and R getting select... Q35: The random variable X has the following ... Q36: A bank offers loan to its customers on d... Q37: Three persons viz. Amber, Bonzi and C... Q38: A shop selling electronic items sells sm... Q39: Given that $E$ and $F$ are events such t... Q40: Compute $P(A|B)$ if $P(B) = 0.5$ and $P(... Q41: If $P(A) = 0.8$, $P(B) = 0.5$ and $P(B|A... Q42: Evaluate $P(A \cup B)$ if $2P(A) = P(B) ... Q43: If $P(A) = \frac{6}{11}$, $P(B) = \frac{... Q44: Determine $P(E|F)$ where a coin is tosse... Q45: Determine $P(E|F)$ where two coins are t... Q46: Determine $P(E|F)$ where a die is thrown... Q47: Determine $P(E|F)$ where Mother, father ... Q48: A black and a red dice are rolled. (a) F... Q49: A fair die is rolled. Consider events $E... Q50: Assume that each born child is equally l... Q51: An instructor has a question bank consis... Q52: Given that the two numbers appearing on ... Q53: Consider the experiment of throwing a di... Q54: If $P(A) = \frac{3}{5}$ and $P(B) = \fra... Q55: Two cards are drawn at random and withou... Q56: A box of oranges is inspected by examini... Q57: A fair coin and an unbiased die are toss... Q58: A die marked 1, 2, 3 in red and 4, 5, 6 ... Q59: Let $E$ and $F$ be events with $P(E) = \... Q60: Given that the events $A$ and $B$ are su... Q61: Let $A$ and $B$ be independent events wi... Q62: If $A$ and $B$ are two events such that ... Q63: Events $A$ and $B$ are such that $P(A) =... Q64: Given two independent events $A$ and $B$... Q65: A die is tossed thrice. Find the probabi... Q66: Two balls are drawn at random with repla... Q67: Probability of solving specific problem ... Q68: One card is drawn at random from a well ... Q69: In a hostel, 60% of the students read Hi... Q70: An urn contains 5 red and 5 black balls.... Q71: A bag contains 4 red and 4 black balls, ... Q72: Of the students in a college, it is know... Q73: In answering a question on a multiple ch... Q74: A laboratory blood test is 99% effective... Q75: There are three coins. One is a two head... Q76: An insurance company insured 2000 scoote... Q77: A factory has two machines A and B. Past... Q78: Two groups are competing for the positio... Q79: Suppose a girl throws a die. If she gets... Q80: A manufacturer has three machine operato... Q81: A card from a pack of 52 cards is lost. ... Q82: A and B are two events such that $P(A) \... Q83: A couple has two children, (i) Find the ... Q84: Suppose that 5% of men and 0.25% of wome... Q85: Suppose that 90% of people are right-han... Q86: If a leap year is selected at random, wh... Q87: Suppose we have four boxes A, B, C and D... Q88: Assume that the chances of a patient hav... Q89: If each element of a second order determ... Q90: An electronic assembly consists of two s... Q91: Bag I contains 3 red and 4 black balls a...

ID: Class: 12 Subject: Math Topic: Probability Type: MCQ

Question:

Two events $A$ and $B$ will be independent, if:

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