Advertisements
Advertisements
Question
A coin is tossed. What is the probability of getting:
a head?
Solution
On tossing a coin once,
Number of possible outcome = 2
a head
Similarly, Favourable outcome of getting a head = 1
But the number of possible outcomes = 2
∴ P(E) = `"Number of Favourable outcome"/"Number of all possible outcome"`
= `1/2`
APPEARS IN
RELATED QUESTIONS
Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.
P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.
Two dice are thrown. Find the probability of getting :
1) The sum of the numbers on their upper faces is at least 9.
2) The sum of the numbers on their upper faces is 15.
3) The number on the upper face of the second die is greater than the number on the upper face of the first die.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is an even prime number.
Two different dice are rolled simultaneously. Find the probability that the sum of numbers appearing on the two dice is 10 ?
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card. (ii) a red card.
Solve any two of the following.
If two coins are tossed simultaneously, find the probability of getting a head on both the coins.
Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is a perfect square
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
Cards each marked with one of the numbers 4, 5, 6, ..., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?
If \[\bar{E}\] denote the complement or negation of an even E, what is the value of P(E) + P(\[\bar{E}\]) ?
A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is ______.
The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is
Two dice are thrown together. The probability of getting the same number on the both dice is
A game consists of tossing a coin 3 times and noting the outcome each time. If getting the same result in all the tosses is a success, find the probability of losing the game.
A coin is tossed twice. Find the probability of getting: two heads
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
Sonia picks up a card from the given cards.
Calculate the probability of getting a G card
