If two dice are thrown – (i) What is the probability of throwing two sixes ? (ii) What is the probability of throwing a total of 9? (iii) What is the probability of not throwing a total of 9?

Question: If two dice are thrown – (i) What is the probability of throwing two sixes ? (ii) What is the probability of throwing a total of 9? (iii) What is the probability of not throwing a total of 9?

The total number of outcomes in the throw of two dice will be 36.

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(i) In the throw of two dice, two sixes can come only once, when the total number of outcomes will be 36. Hence the probability of coming of two sixes in the throw of two dice will be 2/36.
(ii) In the throw of two dice, total of 9 can come in this way : 3,6 ; 4 ,5; 5, 4; 6, 3. Hence, the probability of coming of a total of 9 in the throw of two dice will be 4/36 or .
(iii) The probability of not throwing a total of 9 in the throw of two dice will be
1 – 1/9 = 8/9.

View other related question from probability

Question a. What is the chance of drawing a king in a draw from a pack of 52 cards?
Question b. An urn contains two blue balls and three while balls. Find the probability of a blind man obtaining one blue ball in a single draw.
Question c. If two dice are thrown – (i) What is the probability of throwing two sixes ? (ii) What is the probability of throwing a total of 9? (iii) What is the probability of not throwing a total of 9?
Question d. What is the probability that a vowel selected at random in any English book is an ‘I’.
Question e. What is the probability of a king in a pinochle deck. ( A pinochle deck consists of 2 aces. 2 kinds, 2 queens, 2 jacks, 2 tens and 2 nines of each suit. There are no cards of lower value).
Question f. The ten digits 0 to 9 are stamped on 12 discs, there being one digit on a disc and the discs are thoroughly mixed in a box. If a disc is drawn at random, find the probability that the disc has an odd digit on it.
Question g. Find the probability of drawing a black card in a single random draw from a well-shuffled pack of ordinary playing cards.
Question h. Find the probability of drawing a face card in a single random draw from a well-shuffled pack of ordinary playing cards.