Advertisements
Advertisements
Question
In a single throw of two dice, find the probability of an odd number as a sum.
Solution
The number of possible outcomes is 6 × 6 = 36.
We write them as given below:
1, 11, 21, 31, 41, 51, 6
2, 12, 22, 32, 42, 52, 6
3, 13, 23, 33, 43, 53, 6
4, 14, 24, 34, 44, 54, 6
5, 15, 25, 35, 45, 55, 6
6, 16, 26, 36, 46, 56, 6
n(S) = 36
E = Event of getting an odd number as a sum
= {(1, 2),(1, 4),(1, 6),(2, 1),(2, 3),(2, 5),(3, 2),(3, 4),(3, 6),(4, 1),(4, 3),(4, 5),(5, 2),(5, 4),(5, 6)(6, 1)(6, 3)(6, 5)}
n(E) = 18
Probability of getting an odd number as sum = `(n(E))/(n(S)) = 18/36 = 1/2`
APPEARS IN
RELATED QUESTIONS
A coin is tossed once. Find the probability of not getting a tail.
A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out a white ball?
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is a multiple of 5.
From 25 identical cards, numbered 1, 2, 3, 4, 5, ......, 24, 25; one card is drawn at random. Find the probability that the number on the card drawn is a multiple of 3.
A card is drawn from a well-shuffled pack of 52 cards. Find the probability that the card drawn is ace and king.
In a single throw of two dice, find the probability of a number less than 3 on each dice.
From a well-shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is a card with number less than 8.
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is less than or equal to 12.
Which of the following cannot be the probability of an event?
`3/7`
Which of the following cannot be the probability of an event?
0.82
