Advertisements
Advertisements
Question
Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-
(a) A is the event of getting at least one head.
(b) B is the event of getting exactly one head
Solution
The sample space (S) is
S = {TT, HT,TH, HH}
n(s) = 4
a) Let A be the event of getting at least one head.
A = {HT, HH, TH}
n(A) = 3
b) Let B be the event of getting exactly one head.
B = {HT, TH}
n(B) = 2
RELATED QUESTIONS
If two coins are tossed, then find the probability of the event that at least one head turns up.
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 die is tossed once. Find the probability of getting an even number or a multiple of 3 ?
Which number cannot represent a probability?
A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is extremely patient
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?
that the numbers obtained have a product less then 16.
Two coins are tossed simultaneously. What is the probability of getting at least one head?
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
If a two digit number is chosen at random, then the probability that the number chosen is a multiple of 3, is
A jar contains 24 marbles. Some of these are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is `2/3`. Find the number of blue marbles in the jar.
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rohit.
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Kamal?
A coin is tossed. What is the probability of getting:
a tail?
A coin is tossed twice. Find the probability of getting: exactly one head
A coin is tossed twice. Find the probability of getting: two tails
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2 and 3
Two dice are rolled, find the probability that the sum is equal to 1
A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant.
At a Birthday Party, the children spin a wheel to get a gift. Find the probability of getting a toy car
