Q4 of 134 Page 31

In a single throw of three dice, find the probability of getting a total of 17 or 18

given: three dices are thrown

formula:

Total number of possible outcomes are 6³=216

Therefore n(S)=216

Let E be the event of getting total of 17 or 18

E= {(6,6,5) (6,5,6) (5,6,6) (6,6,6)}

n(E)=4

A die is thrown. Find the probability of getting:

(i) a prime number

(ii) 2 or 4

(iii) a multiple of 2 or 3

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) an even number on first

(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) neither a doublet nor a total of 10

(xiii) odd number on the first and 6 on the second

(xiv) a number greater than 4 on each die

(xv) a total of 9 or 11

(xvi) a total greater than 8

Three coins are tossed together. Find the probability of getting:

(i) exactly two heads

(ii) at least two heads

(iii) at least one head and one tail

What is the probability that an ordinary year has 53 Sundays?