বিন্যাস, সমবেশ ও সম্ভাব্যতা (Permutation, Combination and Probability)

Question 1: A certain jar contain 60 jellybeans where 22 white, 18 green, 11 yellow, 5 red and 4 purple . If a jellybean is to be chosen at random , what is the probability that the jellybean will be neither red not purple?

0.09

0.85

0.54

0.91

Source: Dhaka Bank Ltd - Probationary Officer - 05-02-2021

Answer: 0.85

Explanation:

Question 2: In a zoo, there are Rabbits and Pigeons. It heads are counted s, there are 200 and if legs are counted there are 580. How many pigeons are there ?

100

110

120

Source: সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

Answer: 110

Explanation:

Question 3: A jar contains 13 red marbles and 7 green marbles. The probability that a marble selected from the jar at random will be green is___

0.5

0.35

0.65

Source: Bank Asia Ltd - Management Trainees - 17.06.2011

Answer: 0.35

Explanation:

Question 4: Poppy flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

1/4

44928

1/3

Source: প্রবেশনারি অফিসার - 02-04-2022

Answer: 44928

Explanation:

Question 5: All possible three digit numbers are formed by 1,3,5 . If one number is chosen randomly, the probability that it would be divisible by 5 is -

Source: অফিসার (সাধারণ) ২৭.১২. ২০১৯

Answer: 13

Explanation:

Question 6: A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

1/2

1/3

44930

Source: Agrani bank Ltd - Officer (Cash) - 15.12.2017

Answer: 44930

Explanation:

Question 7: Certain number of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a girl hits a goal is 7/10 whereas the probability that a boy hits a goal is 1/5. What will be the probability that not only a goal is hit but it is also hit by a boy?

14/50

7/50

44962

2/25

Source: City Bank Ltd - Probationary Officer - 2016

Answer: 2/25

Explanation:

Question 8: A bag contains 2 red, 3 green and 2 blue balls .Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

5/7

2/7

45220

11/21

Source: সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

Answer: 45220

Explanation:

Question 9: আবহাওয়া অফিসের রিপোর্ট অনুযায়ী ২০২২ সালে মে মাসে চতুর্থ সপ্তাহে বৃষ্টি হয়েছে মোট ৫ দিন। ঐ সপ্তাহে রবিবারে বৃষ্টি না হওয়ার সম্ভাবনা কত?

Source: প্রাথমিক বিদ্যালয় সহকারী শিক্ষক নিয়োগ -2022-(৩য় ধাপ-৪০২১) (03-06-2022)

Answer: 27

Explanation:

Question 10: A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

1/6

14/33

44960

5/6

Source: এক্সিকিউটিভ অফিসার (সাধারণ) ১৮.১০.২০১৯

Answer: 44960

Explanation:

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Question 1: A certain jar contain 60 jellybeans where 22 white, 18 green, 11 yellow, 5 red and 4 purple . If a jellybean is to be chosen at random , what is the probability that the jellybean will be neither red not purple?

Question 2: In a zoo, there are Rabbits and Pigeons. It heads are counted s, there are 200 and if legs are counted there are 580. How many pigeons are there ?

Question 3: A jar contains 13 red marbles and 7 green marbles. The probability that a marble selected from the jar at random will be green is___

Question 4: Poppy flipped a coin three times and got heads each time. What is the probability that she gets heads on the next flip?

Question 5: All possible three digit numbers are formed by 1,3,5 . If one number is chosen randomly, the probability that it would be divisible by 5 is -

Question 6: A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

Question 8: A bag contains 2 red, 3 green and 2 blue balls .Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Question 10: A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of same color?

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