Tag: baye's theorem
Questions Related to baye's theorem
Box I contains $2$ white and $3$ red balls and box II contains $4$ white and $5$ red balls. One ball is drawn at random from one of the boxes and is found to be red. Then, the probability that it was from box II, is?
An arrangement is selected at random from all possible arrangements of five digits written from the digits $0,1,2,3,\cdots 9$ with repetition. The probability that the randomly selected arrangement will have largest number $'8'$ given that the smallest number is $'4'$ is :
If two events A and B are such that $P(A')=0.3, P(B)=0.5$ and $P(A\cap B)=0.3$ then $P(B/A\cup B)$=
The number of committees formed by taking $5men$ and $5women$ from $6women$ and $7men$ are
A bag contains 12 balls out of which x are white.If one ball is drawn at random, what is the probability it will be a white ball?
A pack of playing cards was found to contain only $51$ cards. If the first $13$ cards which are examined are all red, then the probability thatthe missing card is black, is
Bag $A$ contains $2$ white and $3$ red balls and bag $B$ contains $4$ white and $5$ red balls. One ball is drawn at random from one of the bag is found to be red. Find the probability that it was drawn from bag $B$.
An urn contains $10$ balls coloured either black or red When selecting two balls from the urn at random, the probability that a ball of each color is selected is $8/15$. Assuming that the urn contains more black balls then red balls, the probability that at least one black ball is selected, when selecting two balls, is
There are six letters $L _1, L _2, L _3, L _4, L _5, L _6$ are their corresponding six envelopes $E _1, E _2, E _3, E _4, E _5, E _6$. Letters having odd value can be put into odd value envelopes and even value letters can be put into even value envelopes, so that no letter go into the right envelopes, then number of arrangement equals?
Two unbiased dice are thrown. The probability that the sum of the numbers appearing on the top face of two dice is greater than $7$ if $4$ appear on the top face of the first dice is...