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 between 5 and 8.
Solution
When two dice are rolled, total number of possible outcomes = 36
Favorable outcomes for the sum of number between 5 and 8 i.e. 6 or 7 are:
{(1, 5),(1, 6),(2, 4),(2, 5),(3, 3),(3, 4),(4, 2),(4, 3),(5, 1),(5, 2),(6, 1)}
Number of favorable outcomes = 11
P(getting a sum of 6 or 7) = `11/36`
APPEARS IN
RELATED QUESTIONS
Which of the following arguments are correct and which are not correct? Give a reason for your answer.
If a die is thrown, there are two possible outcomes, an odd number or an even number. Therefore, the probability of getting an odd number is 1/2.
A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is other than an ace
A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random. What is the probability that ball drawn is not black?
A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is red or white
A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is neither white nor black.
Seven cards:- the eight, the nine, the ten, jack, queen, king and ace of diamonds are well shuffled. One card is then picked up at random.
What is the probability that the card drawn is the eight or the king?
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting
(i) a red king.
(ii) a queen or a jack.
How many possibilities is following?
Select one card from the pack of 52 cards.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king of red suit.
A die is thrown 450 times and frequencies of the outcomes 1,2,3,4,5,6 were noted as given in the following table
| outcomes | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 73 | 70 | 74 | 75 | 80 | 78 |
(iii) a number > 4
