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****Definition of Probability Terms - Advance Level**

**Definition of Probability Terms - Advance Level**

**Dear Readers,**

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
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**Q1.**Word ‘UNIVERSITY’ is arranged randomly. Then the probability that both ‘I’ does not come together, is

Solution

probability that both ‘I’ does not come together, is 4/5

probability that both ‘I’ does not come together, is 4/5

**Q2.**A fair coin is tossed repeatedly. If tail appears on first four tosses, then the probability of head appearing on fifth toss equals

Solution

probability of head appearing on fifth toss equals 1/2

probability of head appearing on fifth toss equals 1/2

**Q3.**A determinant is chosen at random. The set of all determinants of order 2 with elements 0 or 1 only. The probability that value of the determinant chosen is positive, is

Solution

The probability that value of the determinant chosen is positive, is 3/16

The probability that value of the determinant chosen is positive, is 3/16

**Q4.**Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is

Solution

The probability that at least one of the selected persons will be a woman is 25/39

The probability that at least one of the selected persons will be a woman is 25/39

**Q5.**Two numbers are selected at random from 1, 2, 3......100 and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by 3, is

Solution

product thus obtained is divisible by 3, is 0.55

product thus obtained is divisible by 3, is 0.55

**Q6.**Five digit numbers are formed using the digits 1, 2, 3, 4, 5, 6, and 8. What is the probability that they have even digits at both the ends

Solution

probability that they have even digits at both the ends is 2/7

probability that they have even digits at both the ends is 2/7

**Q7.**The corners of regular tetrahedrons are numbered 1, 2, 3, 4. Three tetrahedrons are tossed. The probability that the sum of upward corners will be 5 is

Solution

The probability that the sum of upward corners will be 5 is 3/32

The probability that the sum of upward corners will be 5 is 3/32

**Q8.**If four vertices of a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is

Solution

probability that the quadrilateral formed by them is a rectangle is 1/35

probability that the quadrilateral formed by them is a rectangle is 1/35

**Q9.**In a college, 25% of the boys and 10% of the girls offer Mathematics. The girls constitute 60% of the total number of students. If a student is selected at random and is found to be studying Mathematics, the probability that the student is a girl, is

Solution

probability that the student is a girl, is 3/8

probability that the student is a girl, is 3/8

**Q10.**Six boys and six girls sit in a row. What is the probability that the boys and girls sit alternately

Solution

probability that the boys and girls sit alternately is 1/462

probability that the boys and girls sit alternately is 1/462