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1.
A coin is tossed 10 times. The probability of getting exactly six heads is
2.
Let 
If a cartesian product 
, if chosen at random, the probability of 
is
If a cartesian product , if chosen at random, the probability of is
3.
One hundred identical coins, each with probability 
or showing up heads are tossed once. If 
and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of is
or showing up heads are tossed once. If and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of is
4.
India plays two ODI matches each with Australia and Pakistan. The probability of India getting 0, 1, 2 are 0.45, 0.05, 0.50. The probability of India getting at least 7 points in the series is
5.
For a poisson variate 
, if 
, then the mean of is
, if , then the mean of is
6.
If 
and 
are two independent events, the probability that both and occur is 
and the probability that neither of them occurs is 
The probability of the occurrence of 
is
and are two independent events, the probability that both and occur is and the probability that neither of them occurs is The probability of the occurrence of is
7.
The probability that a certain kind of component will survive a given shock test is 
. The probability that exactly 2 of the next 4 components tested survive is
. The probability that exactly 2 of the next 4 components tested survive is
8.
A bag contains 2 white and 4 black balls. A ball is drawn 5 times with replacement. The probability that at least 4 of the balls drawn are white, is
9.
6 boys and 6 girls sit in a row randomly. The probability that all 6 girls sit together, is
10.
If there are 6 girls and 5 boys who sit in a row, then the probability that no two boys sit together is