If two events are independent, then.
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- 1View SolutionChoose the correct answer in each of the following:
Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is - 2If $\text{P(B)}=\frac{3}{5},\text{P}(\text{A}|\text{B})=\frac{1}{2}$ and $\text{P}(\text{A}\cup\text{B})=\frac{4}{5},$ then $\text{P}(\overline{\text{A}\cap\text{B}})+\text{P}(\overline{\text{A}}\cap\text{B})=$View Solution
- 3View SolutionChoose the correct answer from the given four options.
A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective? - 4A bouquet from $11$ different flowers is to be made so that it contains not less then three flowers. Then the number of the different ways of selecting flowers to from the bouquet.View Solution
- 5View SolutionA coin is tossed 10 times. The probability of getting exactly six heads is:
- 6Choose the correct answer from the given four options.View Solution
For the following probability distribution $E(X^2)$ is equal to:$\text{X}$ $1$ $2$ $3$ $4$ $\text{P}(\text{X})$ $\frac{1}{10}$ $\frac{1}{5}$ $\frac{3}{10}$ $\frac{2}{5}$ - 7View SolutionChoose the correct answer from the given four options.
The probability of guessing correctly at least 8 out of 10 answers on a true-false type examination is: - 8If $\text{P(B)}=\frac{3}{5},\text{P}(\text{A}|\text{B})=\frac{1}{2}$ and $\text{P}(\text{A}\cup\text{B})=\frac{4}{5},$ then $\text{P}(\text{B}|\overline{\text{A}})=$View Solution
- 9A letter is known to have come either from $\text{LONDON}$ or $\text{CLIFTON};$ on the postmark only the two consecutive letters $ON$ are ellegible. The probability that it came from $\text{LONDON}$ is:View Solution
- 10View SolutionA rifleman is firing at a distant target and has only 10% chance of hiting it. the least number of round he must fire in order to have more than 50% chance of hitting it at least once is: