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1
GATE ME 2025
MCQ (Single Correct Answer)
+1
-0.33

P and Q play chess frequently against each other. Of these matches, P has won $80 \%$ of the matches, drawn $15 \%$ of the matches and lost $5 \%$ of the matches. If they play 3 more matches, what is the probability of $P$ winning exactly 2 of these 3 matches?

A
$\frac{48}{125}$
B
$\frac{16}{125}$
C
$\frac{16}{25}$
D
$\frac{16}{48}$
2
GATE ME 2025
MCQ (Single Correct Answer)
+1
-0.33
If two unbiased coins are tossed, then what is the probability of having at least one head?
A
0.25
B
0.5
C
0.675
D
0.75
3
GATE ME 2023
MCQ (Single Correct Answer)
+1
-0.33
A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are
A
3 and 3, respectively
B
√3 and √3 , respectively
C
0.015 and 0.015, respectively
D
3 and 9, respectively
4
GATE ME 2017 Set 1
Numerical
+1
-0
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is _________.
Your input ____
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