Question

two different dice are tossed together find the probability (i) of getting a double (ii) of getting a sum of 10,the number on the two dice

Answer 1

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_______________________________________1.SAMPLE SPACE=36
Possible outcomes=6
Probability=6/36=1/6

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2.Sample space=36
Possible outcomes=(4,6),(6,4),(5,5)=3/36=1/12

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hope it helps

Answer 2

Given:

Two dice

To find:

• The probability of getting a double
• The probability of getting a sum of 10

Solution:

Sample space = ( 1, 0 ), ( 1, 1 ), ( 1, 2 )... ( 6, 6 )

Hence,

Sample space = 36

To find the probability of getting a doublet,

Outcomes = ( 1, 1 ), ( 2, 2 ).. ( 6, 6 )

Possible outcomes = 6

P (getting a double) = 6 / 36

Hence, P (getting a double) = 1 / 6

To find the probability of getting a sum of 10,

Possible outcomes = ( 4, 6 ), ( 6, 4 ), ( 5, 5 )

P (getting a sum of 10 ) =3/36

Hence, P ( getting a sum of 10 ) = 1 / 12