Advertisements
Advertisements
Question
If P(E) denotes the probability of an event E then
Options
P(E) < 0
P(E) > 1
0 ≤ P(E) ≤ 1
−1 ≤ P(E) ≤ 1
Solution
Since, number of elements in the set of favourable cases is less than or equal to the number of elements in the set of whole number of cases, their ratio always end up being 1 or less than 1.
Also, their ratio can never be negative.
Thus, probability of an event always lies between 0 and 1.
i.e. 0 ≤ P(E) ≤ 1
Hence, the correct answer is option 0 ≤ P(E) ≤ 1.
APPEARS IN
RELATED QUESTIONS
A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12. Therefore, each of them has a probability 1/11. Do you agree with this argument?
In a simultaneous throw of a pair of dice, find the probability of getting 8 as the sum
A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red or white
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the numbers appearing on the top of the dice is less than or equal to 12?
Fill in blank:
Probability of a sure event is...........
Examine the following statement and comment:
If two coins are tossed at the same time, there are 3 possible outcomes—two heads,
two tails, or one of each. Therefore, for each outcome, the probability of occurrence
is 1/3
From a well-shuffled deck of 52 playing-cards, one card is drawn. Find the probability that the card drawn will be a face card of red colour.
Find the probability that in a leap year there will be 53 Tuesdays ?
Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a prime number less than 40.
A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is ______.
