Q10 of 158 Page 33

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

given: three dice are rolled

formula:

so, we have to determine the probability of getting the sum of digits on dice greater than 10

total number of possible outcomes are 6²=36

therefore n(S)=36

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

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

n(E)=3

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

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

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

In shutting a pack of 52 playing cards, four are accidently dropped; find the chance that the missing cards should be one from each suit