Question

Question 1.
Write the sample space for these experiments
a. Throwing two dice
b. Throwing two coins
c. Throwing coin three times and writing the output
d. A die is thrown repeatedly until a six comes up
e. A coin is tossed until head comes up
f. A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is thrown twice and the total score in two throws is noted​

Answer 1

Given : Different Experiments like a. Throwing two dice  , b. Throwing two coins

To find : Sample Space

Solution:

a. Throwing two dice

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

       (2 , 1) , ( 2 , 2) , ( 2, 3) , (2 , 4)  , ( 2,  5) , ( 2, 6) ,

       (3 , 1) , ( 3 , 2) , ( 3, 3) , (3 , 4)  , ( 3, 5) , ( 3, 6) ,

       (4 , 1) , ( 4 , 2) , ( 4, 3) , (4 , 4)  , ( 4 , 5) , ( 4, 6) ,

       (5 , 1) , ( 5 , 2) , (5, 3) , (5 , 4)  , ( 5 , 5) , ( 5, 6) ,

       (6 , 1) , ( 6 , 2) , ( 6, 3) , (6 , 4)  , (6, 5) , ( 6, 6) , }

b. Throwing two coins

S = { HH  , HT , TH , TT }

c. Throwing coin three times and writing the output

{ HHH , HHT , HTH  , HTT , THH , THT , TTH  , TTT)

e. A coin is tossed until head comes up

{ H , TH  , TTH , TTTH , TTTTH ,..................................}

f. A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is thrown twice and the total score in two throws is noted​

( 2  , 3  , 4 , 5  , 6 , 7 , 8 , 9 , 12 }

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