Question

Q. 10.
Write sample space when two coins are tossed.
OR
Write the sample space when a die is tossed.


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Answer 1

Answer- The above question is from the chapter 'Probability'.

Let's know about sample space first.

For some experiment, sample space is a set of all the possible outcomes generated after the experiment.

It is denoted by S.

For example: If a coin is tossed, there will be two outcomes: Head (H) or Tail (T).

S = {H,T}

Given question: Write sample space when two coins are tossed.

                                                OR

Write the sample space when a dice is rolled.

Solution: When two coins are tossed, total number of outcomes = 2² = 4

S = {HH, HT, TH, TT}

                                                  OR

When a dice is rolled, total number of outcomes = 6¹ = 6.

Sample space (S) = {1, 2, 3, 4, 5, 6}

Answer 2

Answer:

Given :-

• There is a sample place when two coins tossed
• The sample space when a die tossed.

To Find :-

The sample

Solution :-

Two coins are tossed then total outcomes = 2² = 4

Samples are

$\large \sf \bigg \lgroup \: HT \: \: \: TH \: \: \: TT \: \: \: HH \bigg \rgroup$

Now,

When a die thrown

$\large \sf \bigg \lgroup \: 1,2,3,4,5,6 \bigg \rgroup$