Toggle navigation
About
Contact
Dropdown
Action
Another action
Something else here
Nav header
Separated link
One more separated link
Probability
Home
Probability
All Questions (Page: 9)
Study Material (PDF)
All Questions (PDF)
Self Assesment
Sort As
Serial Number
Newly Added
Language
English
Bengali
Study Material (PDF)
All Questions (PDF)
Self Assesment
Sort As
Serial Number
Newly Added
Language
English
Bengali
Click on each question to see answer & solution.
Question No: #81
If `\bar{A}` and `\bar{B}` are the events complementary to the events `A` & `B` respectively, then prove that `P(\bar{A}\ \text{or}\ \bar{B}) = 1 - P(A) P(B | A)`
Ans:
SEE SOLUTION
Question No: #82
Show that the probability of occurring exactly one events between `A` & `B` is `P(A) + P(B) - 2P(AB)`
Ans:
SEE SOLUTION
Question No: #83
`A, B` & `C` are three events such that `P(C) = 0.55`, `P(A | C) = 0.25`, `P(B | C) = 0.4` and `P(A \cap B \cap C) = 0.30` then find `P((A \cup B) | C))`
Ans: 0.1045
SEE SOLUTION
Question No: #84
`A, B, C` are three events such hat `P(B) = 3/4`, `P(A^c \cap B \cap C^c) = 1/3` and `P(A \cap B \cap C^c) = 1/3`, then the value of `P(B \cap C)` is -
(a) `1/12`, (b) `5/12`, (c) `1/4`, (d) `23/36`
Ans: (a) `1/12`
SEE SOLUTION
Question No: #85
Two events `A` & `B` are such that that `P(A^c) = 0.3`, `P(B) = 0.4` and `P(A \cap B^c) = 0.5`. Then find `P(B | A \cup B^c)`
Ans: `1/4`
SEE SOLUTION
Question No: #86
If `P(A) = 0.8`, `P(A | B) = 0.8` and `P(A \cap B) = 0.5`, then find `P(A \cap B | \bar{B})`
Ans: `0`
SEE SOLUTION
Question No: #87
The probability that a teacher will give an unannounced test during any class meeting is `1/5`. If a student is absent twice, then find the probability that the student will miss at least one test.
Ans: `9/25`
SEE SOLUTION
Question No: #88
The probability that a contractor will get a contract `A` is `3/5` and contract `B` is `1/3`; and the probability of getting both contracts is `1/8`. What is the probability that the contractor will get one contract between A or B?
Ans: `97/120`
SEE SOLUTION
Question No: #89
12 cards, numbered 1 to 12, are placed in a box, mixed up thoroughly and then a card is drawn at random from the box. If it is known that the number on the drawn card is more than 3, find the probability that it is an even number.
Ans: `5/9`
SEE SOLUTION
Question No: #90
A couple has 2 children. Find the probability that both are boys, if it is known that --
(i) one of them is a boy,
(ii) the older child is a boy.
Ans: (i) `1/3`, (ii) `1/2`
SEE SOLUTION
Previous Page: 8
Next Page: 10
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15