Question 5

A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?

Answer

When a coin is tossed once, the number of outcomes is 2 (Head and tail) i.e., in each throw, the number of ways of showing a different face is 2.

Thus, by multiplication principle, the required number of possible outcomes is 2 × 2 × 2 = 8

- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

- Q:-
How many terms of G.P. 3, 3

^{2}, 3^{3}, … are needed to give the sum 120? - Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.

- Q:- Write the following sets in roster form:

(i) A = {x: x is an integer and - 3 < x < 7}.

(ii) B = {x: x is a natural number less than 6}.

(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x: x is a prime number which is divisor of 60}.

(v) E = The set of all letters in the word TRIGONOMETRY.

(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.

- Q:-
The ratio of the sums of

*m*and*n*terms of an A.P. is*m*2:*n*2. Show that the ratio of*m*th and*n*th term is (2*m*– 1): (2*n*– 1). - Q:-
Name the octants in which the following points lie:

(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)

- Q:-
Find the sum to

*n*terms of the series 1 × 2 × 3 + 2 × 3 × 4 + 3 × 4 × 5 + … - Q:-
The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

- Q:-
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.

- Q:-
Let S be the sum, P the product and R the sum of reciprocals of

*n*terms in a G.P. Prove that P^{2}R^{n}= S^{n} - Q:-
Find four numbers forming a geometric progression in which third term is greater than the first term by 9, and the second term is greater than the 4th by 18.

- Q:-
If the first and the

*n*th term of a G.P. are*a*ad*b*, respectively, and if*P*is the product of*n*terms, prove that*P*^{2}= (*ab*)^{n}. - Q:-
Show that the products of the corresponding terms of the sequences a,ar,ar

^{2}, ...ar^{n-1}and A, AR, AR^{2}, ,,,AR^{n-1 }form a G.P, and find the common ratio. - Q:-
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?

Sampuransingh
2019-05-10 10:27:29

HHH, HHT, HTH ,THH, HTT, THT, TTH TTT

Raj
2017-11-04 12:53:32

h-h h-t t-h t-t

Devendra
2017-02-19 20:29:51

Can you give us outcomes in written

- NCERT Chapter