Q. 34.2( 20 Votes )

# In a simultaneous throw of a pair of dice, find the probability of getting:

(i) 8 as the sum

(ii) a doublet

(iii) a doublet of prime numbers

(iv) a doublet of odd numbers

(v) a sum greater than 9

(vi) an even number on first

(vii) an even number on one and a multiple of 3 on the other

(viii) neither 9 nor 11 as the sum of the numbers on the faces

(ix) a sum less than 6

(x) a sum less than 7

(xi) a sum more than 7

(xii) at least once

(xiii) a number other than 5 n any dice.

(xiv) even number on each die

(xv) 5 as the sum

(xvi) 2 will come up at least once

(xvii) 2 will not come either time

Answer :

Sample space = 36

(i) n(E) = 5

(ii) n(E) = 6

(iii) n(E) = 3

(iv)

(v)

(vi)

(vii)

(viii) Number of event with sum 9 or 11 = 6

∴ Number of events of not getting a sum of either 9 or 11 = 36 – 6 = 30

(ix)

(x)

(xi)

(xii)

(xiii)

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PREVIOUSA die is thrown. Find the probability of getting:(i) a prime number(ii) 2 or 4(iii) a multiple of 2 or 3(iv) an even prime number(v) a number greater than 5(vi) a number lying between 2 and 6NEXTThree coins are tossed together. Find the probability of getting:(i) exactly two heads(ii) at most two heads(iii) at least one head and one tail.(iv) no tails

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KC Sinha - Mathematics