Question

take three similar coins, toss them and write all possible outcomes. find also the probability of getting three heads.

Answer 1

                 SOLUTION

$\red \bigstar$ All the possible outcome of an event is known as the sample space .

The Sample space when 3 coins are tossed will be :-

Sample Space (S) =  { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }

Therefore we can observe that the total number of all possible outcomes when three coins are tossed = 8

Now , we have to find the probability of  getting three heads.

$\sf Probability \:of \:an\: event = \dfrac{Number \:of\: Favorable\: Events}{Total \:Number \:of\: Events}$

Here there is only 1 favorable event for obtaining all head that is { HHH }

So  , the Number of Favorable Event = 1

Therefore ,

$\sf The \: Probability \: of\: getting\: three\: heads = \dfrac{1}{8}$

PROBABILITY

Probability of an event are the possible outcomes of an event .

Probability of an event lies between numbers 0 and 1 .

If probability of a number is 0 the event will not occur and if the probability is 1 , the event is a sure one .

$\sf Probability \:of \:an\: event = \dfrac{Number \:of\: Favorable\: Events}{Total \:Number \:of\: Events}$