Probability (Concept + All type of Problems)

Probability is the measure that an event will occur. Probability expressed on a linear scale between 0 and 1, wher, 0 indicates impossibility and 1 indicates certainty. Probability also expressed as a percentage between 0 and 100%. The higher the probability of an event, the more likely it is that the event will occur.

Example :- When a coin is tossed, the possible outcomes are Head and Tail. So, the sample space is represented as {H, T}.
Similarly when two coins are tossed, the sample space is {(H,H), (H,T), (T,H), (T,T)}.
The probability of head each time you toss the coin is 1/2. So it is also the probability of tail.

Another example is the rolling of dice. When a single die is rolled, the sample space is {1,2,3,4,5,6}.
What is the probability of rolling a 5 when a die is rolled?

No. of ways it can occur = 1

Total no. of possible outcomes = 6

So the probability of rolling a particular number when a die is rolled = 1/6.

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