Advertisements
Advertisements
Question
Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is more than 10.
Solution
When two dice are rolled, total number of possible outcomes = 36
Favorable outcomes for the sum of numbers more than 10 i.e. 11 or 12 are:
{(5, 6),(6, 5),(6, 6)}
Number of favorable outcomes = 3
P(getting a sum of numbers more than 10) = `3/36 = 1/12`
APPEARS IN
RELATED QUESTIONS
A game of chance consists of spinning an arrow which is equally likely to come to rest
pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the
probability that it will point to an even number?
What is the probability that a number selected at random from the number 1,2,2,3,3,3, 4, 4, 4, 4 will be their average?
Examine the following statement and comment:
If a die is thrown once, there are two possible outcomes—an odd number or an
even number. Therefore, the probability of obtaining an odd number is 1 /2 and the
probability of obtaining an even number is 1/2
.
Cards marked with numbers 1, 2, 3 ......... 20 are well shuffled and a card is drawn at random. What is the probability that the number on the card is divisible by 3?
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is:
not a red ball.
Two dice are thrown simultaneously. Find the probability of getting: an even number as the sum.
An experiment whose outcomes has to be among a set of events that are completely known but whose exact outcomes is unknown is a ____________.
A letter of English alphabets is chosen at random. What is the probability that it is a letter of the word ‘MATHEMATICS’?
A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this ball being a red ball.
A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is acceptable to Varnika?
