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Aptitude Questions for Probability with Answers
 
 
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Probability (595 Views)
 
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If one dice is rolled randomly, the set of total possible outcome is{1, 2, 3, 4, 5,6} and the set of all outcomes even number is 2,4,6.

From the above example we design some definitions.

The word PROBABILITY is used to indicate a vague possibility that something might happen. It is also used synonymously with chance

Experiment: The process of rolling dice is known as “experiment”

Random Experiment: The process of rolling dice randomly is known as “Random Experiment”

Rolling an unbiased dice.

Tossing a fair coin.

Drawing a card from a pack of well stuffed card

Picking up a ball of certain color from a bag containing balls of different colors

Sample Space: The set of total possible outcomes in an random experiment is known as Sample Space, denoted by S.

For s dice S= {1, 2, 3, 4, 5, 6}

For coin S= {H, T}

If two coins are tossed, then

S= {HH, HT, TH, TT}

Event: Any Subset of a sample space is called an event, denoted by E.

Probability of any event=n(E)/n(S) i.e.

P (E) = n (E)/n(S)

Where n (E) is total number of required outcomes

n (S) is total number of possible outcomes

P(E) is probability of Events

Probability of the event number=3/6

P (E) =1/2

These probability problems are useful for all competitive exams.

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