Advertisements
Advertisements
प्रश्न
A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 (Fig. 9), which are equally likely outcomes. What is the probability that the arrow will point at (i) an odd number (ii) a number greater than 3 (iii) a number less than 9.
उत्तर
Arrow can come to rest at any of the numbers 1, 2, 3, 4, 5, 6, 7 and 8.
Total number of events = 8
(i) There are four odd numbers 1, 3, 5 and 7.
Probability that the arrow will point at an odd number is given by P (Arrow point at odd number)= `4/8=1/2`
(ii) There are five numbers greater than 3, that is, 4, 5, 6, 7 and 8.
Probability that the arrow will point at a number greater than 3 is given by P (Arrow point at a number greater than 3) = `5/8`
(iii) All the numbers are less than 9.
Probability that the arrow will point at a number less than 9 is given by P (Arrow point at a number less than 9)= `8/8=1`
APPEARS IN
संबंधित प्रश्न
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3.
Two coins are tossed simultaneously. Write the sample space (S), n(S), the following event A
using set notation and n(A), where ‘A is the event of getting at least one head.’
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number.
A die is tossed once. Find the probability of getting an even number or a multiple of 3 ?
A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be of value more than ₹1
All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting black card
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a perfect square number
All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is a black card.
All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is a red card.
Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?
If two different dice are rolled together, the probability of getting an even number on both dice is
The probability that a non-leap year has 53 sundays, is
One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?
Find If A If tan 2A = cot (A-24°)
A die is thrown once. Find the probability of getting a number which is a prime number
Three different coins are tossed simultaneously. Find the probability of getting exactly one head.
A die is thrown once. Find the probability of getting.
(a) a prime number.
(b) an odd number
What is the probability that the spinner will not land on a multiple of 3?
There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of them contain a cash prize of Rs 50 each and 200 of them contain a cash prize of Rs 10 each and rest do not contain any cash prize. If they are well shuffled and an envelope is picked up out, what is the probability that it contains no cash prize?
A coin is tossed 12 times and the outcomes are observed as shown below:
The chance of occurrence of Head is
