Probability Tes...

There are three boxes, each containing a different number of light bulbs. The first box has 10 bulbs, of which four are dead, the second box has six bulbs, of which one is dead, and the third box has eight bulbs of which three are dead. What is the probability of a dead bulb being selected when a bulb is chosen at random from one of the three boxes?

Suppose that two factories supply light bulbs to the market. Factory X's bulbs work for over $$5000$$ hours in $$99\%$$ of cases, whereas factory Y's bulbs work for over $$5000$$ hours in $$95\%$$ of cases. It is known that factory X supplies $$60\%$$ of the total bulbs available. What is the chance that a purchased bulb will work for longer than $$5000$$ hours?

Probability of any event $$x$$ lies

For the events $$A$$ and $$B, P(A) = \dfrac {3}{4}, P(B) = \dfrac {1}{5}, P(A\cap B) = \dfrac {1}{20}$$ then $$P(A/B) =$$ ___________.

In throwing a pair of dice, the events 'coming up of 6 on Ist dice' and 'a total of 7 on both the dice' are 

If $$\dfrac {1 + 3p}{3}, \dfrac {1 - p}{4}$$ and $$\dfrac {1 - 2p}{2}$$ are mutually exclusive events. Then, range of $$p$$ is

If $$\frac{1+4p}{p};\frac{1-p}{4};\frac{1-2p}{2}$$ are probabilities of three mutually exclusive events, then the possible values of $$'p'$$ belong to the set is..

A bag contains a white and black balls. Two players $$A$$ and $$B$$ alternately draw a ball from the bag.replacing the ball each form after the draw. The person who first draw a white ball will wins the bag.game. If $$A$$ 'begins the game and $$\frac { P ( B ) } { P ( A ) } = \frac { 1 } { 2 }$$ then $$a : b$$

If $$E_{1}$$ and $$E_{2}$$ are mutually exclusice events, then 

The total numbers of outcomes when three coins tossed once is .....