0
question_answer1) Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained in the two drawn cards. If \[P(X=1)+P(X=2)\] equal k, then \[\frac{1}{k}=\]
question_answer2) Two coins are available, one fair and the other two headed. Choose a coin and toss if once assume that the unbiased coin is chosen with probability \[\frac{3}{4}\] . Given that the outcome is head, the probability that the two-headed coin was chosen is
question_answer3) The chance of India winning toss is\[3/4\]. If it wins the toss, then its chance of victory is \[4/5\] otherwise it is only \[1/2\]. Then chance of India's victory is
question_answer4) An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not returned to the urn. Now, a second ball is drawn at random from it. If the probability that the second ball is red is \[\frac{a}{b},\] then \[a\times b=\]
question_answer5) If two events A and B are such that \[P({{A}^{c}})=0.3,\] \[P(B)=0.4\] and \[P(A\cap {{B}^{c}})=0.5,\] then \[P[B/(A\cup {{B}^{c}})]\] is equal to
question_answer6) The probability of happening an event A in one trial is \[0.4\]. The probability that the event A happens at least once in three independent trials is
question_answer7) If the probability of hitting a target by a shooter, in any shot, is \[\frac{1}{3},\] then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than \[\frac{5}{6},\] is
question_answer8) Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are \[0.3\] and \[0.2\], respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
question_answer9) Four persons can hit a target correctly with probabilities \[\frac{1}{2},\frac{1}{3},\frac{1}{4}\] and \[\frac{1}{8}\] respectively. If all hit at the target independently, then the probability that the target would be hit is
question_answer10) A dice is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is
question_answer11) Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, if conditional probability that all children are girls given that at least two are girls is k, then \[\frac{1}{k}=\]
question_answer12) If X follows a binomial distribution with parameters \[n=6\] and p and 4\[(P(X=4))=P(X=2),\] then P =
question_answer13) A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is \[\frac{1}{2},\frac{1}{3}\] and \[\frac{1}{4}.\] Probability that the problem is solved is
question_answer14) The probability that A speaks truth is \[\frac{4}{5},\]while the probability for B is \[\frac{3}{4}\]. The probability that they contradict each other when asked to speak on a fact is
question_answer15) Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is
Please Wait you are being redirected....
You need to login to perform this action.You will be redirected in 3 sec
OTP has been sent to your mobile number and is valid for one hour
Your mobile number is verified.