Axiomatic Approach
Trending Questions
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A man makes attempts to hit the target. The probability of hitting the target is $\frac{3}{5}$. Then the probability that $A$ hit the target exactly $2$ times in $5$ attempts is
$\frac{144}{625}$
$\frac{72}{3125}$
$\frac{216}{625}$
None of these
Out of $5$ apples, $10$ mangoes and $15$ oranges, any $15$ fruits are to be distributed among two persons. Then the total number of ways of distribution?
$66$
$36$
$60$
None of the above
 59
 13
 23
 49
Probability of solving specific problem independently by A and B arerespectively. If both try to solve the problem independently, find the probability that
(i) the problem is solved (ii) exactly one of them solves the problem.
$AandB$ are two independent events such that $P(AUB\u2019)$ $=0.8$ and $P\left(A\right)=0.3$, then $P\left(B\right)$is
$\frac{2}{7}$
$\frac{2}{3}$
$\frac{3}{8}$
$\frac{1}{8}$
Each coefficient in the equation ax2+bx+c=0 is determined by throwing an ordinary die. Find the probability that the equation will have equal roots.
3216
5216
15216
1216
If $A$ and $B$ are two independent events such that $P(A\cap B)=\frac{3}{25}$, and $P(A\cap B)=\frac{8}{25}$, then $P\left(A\right)=$
$\frac{1}{5}$
$\frac{3}{8}$
$\frac{2}{5}$
$\frac{4}{5}$
What is the difference between the Bayes theorem and conditional probability?
A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that :
(i) all 10 arc defective
(ii) all 10 are good
(iii) at least one is defective
(iv) None is defective
A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that was produced by machine B?
 1/64
 1/32
 1/16
 1/8
(a) >0.065
(b) <0.068
(c) 0.066
(d) 0.067
State which of the following are not the probability distributions of a random variable. Give reasons for your answer.
(i)

X
0
1
2
P (X)
0.4
0.4
0.2
(ii)

X
0
1
2
3
4
P (X)
0.1
0.5
0.2
− 0.1
0.3
(iii)

Y
−1
0
1
P (Y)
0.6
0.1
0.2
(iv)

Z
3
2
1
0
−1
P (Z)
0.3
0.2
0.4
0.1
0.05
A man make attempts to hit the target. The probability of hitting the target is 3/5. Then the probability that A hit the target exactly 2 times in 5 attempts is:
 None
 37
 27
 47
 211
 1011
 311
 611
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two I's do not come together.
The letters of the word $ASSASSIN$ are written down at random in a row. The probability that no two $S$ occur together is
$\frac{1}{35}$
$\frac{1}{14}$
$\frac{1}{15}$
None of these
A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is
1124
14
1524
2324
A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is
(a) 328
(b) 221
(c) 128
(d) 167168
 4787
 3787
 5787
 3387
If P(A∪B)=P(A∩B) for any two events A and B. then
None of these
P(A)=P(B)
P(A)>P(B)
P(A)<P(B)
A class consists of 80 students, 25 of them are girls 55boys 10of them are rich and remaining poor 20 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Let $x$ be a set containing $n$elements. If two subsets$A$ and $B$of $x$picked at random, the probability that$A$ and $B$have the same number of elements, is
$\frac{{}^{2n}{\mathrm{\u2102}}_{n}}{{2}^{2n}}$
$\frac{1}{{}^{2n}{\mathrm{\u2102}}_{n}}$
$\frac{\left[1.3.5...\left(2n1\right)\right]}{{2}^{n}}$
$\frac{{3}^{n}}{{4}^{n}}$