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Find the probability that a leap year selected at random will contain 53 Sundays. अज्ञात रूप से चुने गये लीप वर्ष मे 53 रविवार होने की संभावना ज्ञात करें। | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 5/7
B) 3/4
C) 4/7
D) 2/7
Correct Answer :2/7 Explanation :Total number of days in a leap year = 366 | |||||||||||||||||||||||||||||||||||||||||||||||||

There are 5 red and 7 blue balls in a bucket. If one ball is drawn at random from the bucket then what is the probability that the ball drawn will be of red colour? एक बाल्टी में 5 लाल और 7 नीली गेंदों है। यदि हम उसमें से एक गेंद बाहर निकालते है तो उसके लाल रंग की होने की क्या संभावना है? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 5/12
B) 7/12
C) 1/2
D) 1/12
Correct Answer :5/12 Explanation :total numbers of balls in bucket = 5 red+7 blue=12 | |||||||||||||||||||||||||||||||||||||||||||||||||

Two dices are thrown randomly. Find the probability of getting the sum of digits as 9. दो पासों को अज्ञात रूप से फेका गया है। दोनो पासों पर आने वाली संख्याओं का योग 9 होने की संभावना ज्ञात करो। | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/6
B) 1/9
C) 1/12
D) None of these
Correct Answer :1/9 Explanation :All possible outcome when two dices are thrown randomly =sample space is n(S)=(6*6)=36 outcomes | |||||||||||||||||||||||||||||||||||||||||||||||||

A bag contains 2 red marbles, 3 green marbles and 4 blue marbles. A marble is picked at random from the bag. What is the probability that the marble is not a blue marble? एक बैग में 2 लाल मार्बल, 3 हरे मार्बल और 4 नीले मार्बल है । बैग में से अज्ञात रुप से एक मार्बल निकाला जाता है। मार्बल का नीला मार्बल ना होने की क्या संभावना है? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 4/9
B) 5/9
C) 1/9
D) 2/3
Correct Answer :5/9 Explanation :total numbers of marbles in bag = 2 red+3 green+4 blue=9 | |||||||||||||||||||||||||||||||||||||||||||||||||

A coin is tossed. What is the probability of getting a head or a tail? एक सिक्का उछाला गया है । हेड या टेल आने की सम्भावना क्या होगी? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 0
B) 1
C) 1/2
D) 1/4
Correct Answer :1 Explanation :When coin is tossed, result will be either heads or tails.there Total number of possible outcomes i.e. sample space n(S) : {H,T} = 2 So number of probable outcomes and total number of outcomes are same i.e. 2. So, probability of getting either heads or tails when a coin is tossed once Note: | |||||||||||||||||||||||||||||||||||||||||||||||||

In a box there are 4 black, 4 orange and 2 blue marbles. Two marbles are drawn at random. What is the probability that at least one marble is of blue colour? एक बॉक्स में 4 काले, 4 नारंगी और 2 नीले कंचे है । दो कंचों को अनियमति रुप से निकाला जाता है । कम से कम एक कंचे के नीले रंग के होने की संभावना क्या है ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 4/5
B) 3/5
C) 1/5
D) None of these
Correct Answer :None of these Explanation :total numbers of marbles in box= 4 black+4 orange+2 blue=10 marbles | |||||||||||||||||||||||||||||||||||||||||||||||||

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An box contains 9 red, 7 white and 4 black balls. A ball is drawn at random. What is the probability that the ball drawn is not red ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/11 B) 9/20 C) 2/11 D) 11/20 Correct Answer :11/20Explanation :total numbers of balls in bucket =9 red + 7 white + 4 black=20
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A number is chosen at random among the first 120 natural numbers. The probability of the number chosen being a multiple of 5 or 15 is ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/5 B) 1/8 C) 1/6 D) 1/12 Correct Answer :1/5Explanation :sample space n(S)=number of ways chosen at random among the first 120 natural numbers=>120 | |||||||||||||||||||||||||||||||||||||||||||||||||

A single letter is selected at random from the word 'PROBABILITY' . The probability that it is a vowel, is ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 3/11 B) 4/11 C) 2/11 D) 1/11 Correct Answer :4/11Explanation :sample space n(S)=Total number of letters=>11 Hence probability p(E)=n(E)/n(S)=4/11 | |||||||||||||||||||||||||||||||||||||||||||||||||

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If a number is chosen from the set {1, 2, 3…90}, then the probability that the chosen number is multiple of 7 is | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/6
B) 2/15
C) 1/12
D) 7/30
Correct Answer :2/15 Explanation :All possible outcome If a number is chosen from the set {1, 2, 3…90} =sample space is n(S)=90 ways | |||||||||||||||||||||||||||||||||||||||||||||||||

A number is randomly selected from set A ={1,2,3,} and then second number is randomly selected from set B={1,3,9} The probability that the sum of the two numbers selected will be less than or equal to 4, is: | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/3
B) 5/9
C) 2/3
D) 7/9
Correct Answer :1/3 Explanation :All possible outcome to select the number from both set and when do sum =sample space is n(S)={1+1,1+3,1+9,2+1,2+3,2+9,3+1,3+3,3+9}=9 ways | |||||||||||||||||||||||||||||||||||||||||||||||||

Which of the following has the maximum probability to be the sum of the number on top face of two dice, when both the dice thrown together? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 7
B) 8
C) 9
D) 10
Correct Answer :7 Explanation :Outcomes for Two Dice
the maximum probability to be the sum of the number on top face of two dice = maximum Outcomes for that number 7 =(6, 1) , (5, 2), (4, 3), (3, 4), (2, 5), (1, 6) Hence ,maximum probability that the sum of the two dice is seven | |||||||||||||||||||||||||||||||||||||||||||||||||

Two unbiased coins are tossed. What is probability of getting at most one tail ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 5/4
B) 3/4
C) 1
D) 1/2
Correct Answer :3/4 Explanation :Sample space , n(S) = {HH, TT, TH, HT} = 4 Probability P(E) = n(E)/n(S) = 3 / 4 | |||||||||||||||||||||||||||||||||||||||||||||||||

Three unbiased coins are tossed, what is the probability of getting at least 2 tails ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/3
B) 1/4
C) 1/2
D) 3/2
Correct Answer :1/2 Explanation :Sample space ,n(S) = {TTT, HHH, TTH, THT, HTT, THH, HTH, HHT} = 8 Probability P(E) = n(E)/n(S) = 4 / 8 | |||||||||||||||||||||||||||||||||||||||||||||||||

In a throw of dice what is the probability of getting number greater than 5 ? | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 2/6
B) 1/2
C) 5/6
D) 1/6
Correct Answer :1/6 Explanation :Sample space ,n(S) = {1, 2, 3, 4, 5, 6} = 6 Probability P(E) = n(E)/n(S) = 1/ 6 | |||||||||||||||||||||||||||||||||||||||||||||||||

There are 3 children in the Khanna's family and it is known that there is at least 1 girl among the 3 children. What is the probability that all 3 of them are girls? खन्ना के परिवार में 3 बच्चे हैं और यह ज्ञात है कि वहां 3 बच्चों में से कम से कम 1 लड़की है। सभी 3 बच्चे लड़कियां हे कि संभावना है | | |||||||||||||||||||||||||||||||||||||||||||||||||

A) 1/7
B) 1/8
C) 1/6
D) 2/7
Correct Answer :1/7 Explanation :Let G=girl, B=boy. thus sample space is, n(S) : {GGG,GGB,GBG,BGG,GBB,BGB,BBG} = 7 Therefore, probability that all will be girl = n(E)/n(S) = 1/7 | |||||||||||||||||||||||||||||||||||||||||||||||||