A town has two fire-extinguishing engines, functioning independently. The probability of availability of each engine when needed is 0.95. What is the probability that (i) neither of them is available when needed ? (ii) an engine is available when needed?

Town has two fire extinguishing engines functioning independently. The probability of availability of each engine, when needed, is 0.95. what is the probability that (i)Neither of them is available when needed? (ii)An engine is available when needed? (iii)Exactly one engine is available when needed?

A town has 2 fire engines operating independently. The probability that a fire engine is available when needed is 0.96. (i) What is the probability that a fire engine is available when needed ? (ii) What is the probability that neither is available when needed ?

A small town has one fire engine and one ambulance available for emergencies. The probability that the fire engine is available when needed is 0.98 and the probability that the ambulance is available when called is 0.92. In the event of injury resulting from a building on fire, the probability that both the ambulance and the fire engine will be available is .........

When two dice are rolled, what is the probability that the sum of the numbers appeared on them is 11?

A hotel has five single room available, for which six men and three women apply. What is the probability that the rooms will be rented to three men and two women ?

A hotel has five single room available, for which six men and three women apply. What is the probability that the rooms will be rented to three men and two women ?

The probability that a car being filled with petrol will also need an oil change is 0.30, the probability that both the oil and filter need changing is 0.15. (i) If the oil had to be changed, what is the probability that a new oil filter is needed ? (ii) If a new oil filter is needed, what is the probability that the oil has to be changed ?

A scientist has to make a decision on each f the two independent events I and II. Suppose the probability of error in making decision on event I is 0.02 and that on event II is 0.05 . Find the probability that he scientist will make the correct decision on ( i) both events ( ii) only one event