Q9 of 158 Page 33

In a single throw of three dice, find the probability of getting the same number on all the three dice

given: three dice are rolled

formula:

so, we have to determine the probability of getting the same number on all the three dice

total number of possible outcomes are 6³=216

therefore n(S)=216

let E be the event of getting same number on all the three dice

E= {(1,1,1) (2,2,2) (3,3,3) (4,4,4) (5,5,5) (6,6,6)}

n(E)=6

What is the probability that a leap year has 53 Sundays and 53 Mondays?

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that:

(i) All the three balls are white

(ii) All the three balls are red

(iii) One ball is red and two balls are white

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice is greater than 10

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is ;

(i) a black king

(ii) either a black card or a king

(iii) black and a king

(iv) a jack, queen or a king

(v) neither an ace nor a king

(vi) spade or an ace

(vii) neither an ace nor a king

(viii) a diamond card

(ix) not a diamond card

(x) a black card

(xi) not an ace

(xii) not a black card