# If P(A)=0,then P(A ∩ B)=

1.  0

2.  1

3.  ∞

4.  None of these

4

0

Explanation :
No Explanation available for this question

# Which of the following is correct

1.  If P(A) > 0,P(B)> 0 and P(A/B)=P(B/A),then P(A)=P(B).

2.  If A and B mutually exclusive,then

3.  If A and B are independent,then

4.  All of these

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If P(A) > 0,P(B)> 0 and P(A/B)=P(B/A),then P(A)=P(B).

Explanation :
No Explanation available for this question

# A problem in mechanics is given to three students A,B and C whose chances of slogging it are 1/2,1/3 and 1/4 respectively.Then probability that the problem will be solved is

1.  1/4

2.  1/2

3.  3/4

4.  None of these

4

3/4

Explanation :
No Explanation available for this question

# The feedback control system shown in the given figure represents a

1.  Type 0 system

2.  Type 1 system

3.  Type 2 system

4.   Type 3 system

4

Type 3 system

Explanation :
No Explanation available for this question

# A and B throw alternately with a pair of dice.A wins if he throws 6 before B throws 7 and B wins if he throws 7 before A throws 6.If A begins,then his chance of winning is

1.  31/60

2.  30/61

3.  31/61

4.  None of these

4

30/61

Explanation :
No Explanation available for this question

# If P(A)=3/4 and P(B)=5/8,then

1.  P(A υ B)≥3/4

2.  3/8

3.

4.  all of these

4

all of these

Explanation :
No Explanation available for this question

# Three machines M1,M2 and M3 produce identical items.Of their respective output 5%,4% and 3% of items are faculty.On certain day,M1 has produced 25% of the total output,M2 has produced 30% and M3 the remainder.An item selected at randoms is found to be faulty.What are the chances that it was produced by the machine with the highest output

1.  0.155

2.  0.255

3.  0.355

4.  0.455

4

0.355

Explanation :
No Explanation available for this question

# A unity feedback control system has a forward path transfer function equal to . The unit step response of this system starting from rest, will have its maximum value at a time equal to

1.  0 sec

2.  0.56 sec

3.  5.6 sec

4.   infinity

4

infinity

Explanation :
No Explanation available for this question

# In an experiment a coin is tossed 4 times.What is the size of the sample space

1.  12

2.  14

3.  16

4.  20

4

16

Explanation :
No Explanation available for this question

# For any two events A and B

1.

2.  P(AυB)=P(A)+P(B)-P(A∩B)

3.  P(A/B)≤P(A)

4.   All of these

4