1
GATE CSE 2009
+2
-0.6
An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face valueis even. The probability of getting any even bnumbered face is the same.

If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

A
0.453
B
0.468
C
0.485
D
0.492
2
GATE CSE 2008
+2
-0.6
Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that the studies mathematics the next day is 0.6. If she studies mathematics on a day, then the probability that she studies computer science the next day is 0.4. Given that Aishwarya studies computer science on Monday, what is the probability that she studies computer science on Wednesday?
A
0.24
B
0.36
C
0.4
D
0.6
3
GATE CSE 2008
+2
-0.6
Let X be a random variable following normal distribution with mean + 1 and variance 4. Let Y be another normal variable with mean - 1 and variance unknown. If $$P\,(X\, \le \, - 1) = \,P(Y\,\, \ge \,2)$$, the standard deviation of Y is
A
3
B
2
C
$${\sqrt 2 }$$
D
1
4
GATE CSE 2008
+2
-0.6
What is the probability that in a randomly choosen group of r people at least three people have the same birthday?
A
$$1 - {{365.364....\,(365\, - \,r\, + \,1)} \over {{{365}^r}}}$$
B

$${{365.364....\,(365\, - \,r\, + \,1)} \over {{{365}^r}}}$$
$$+ {\,^r}{C_2}.\,365.{{364.363....\,(364\, - \,(r - 2)\, + \,1)} \over {{{365}^{r - 2}}}}$$
C
$$1 - {{365.364....\,(365\, - \,r\, + \,1)} \over {{{365}^r}}}$$
$$- {\,^r}{C_2}.\,365.{{364.363....\,(364\, - \,(r - 2)\, + \,1)} \over {{{365}^{r - 2}}}}$$
D
$${{365.364....\,(365\, - \,r\, + \,1)} \over {{{365}^r}}}$$
GATE CSE Subjects
EXAM MAP
Medical
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