Home
Class 12
MATHS
Statement-1 If 10 coins are thrown simul...

Statement-1 If 10 coins are thrown simultaneously, then the probability of appearing exactly four heads is equal to probability of appearing exactly six heads.
Statement-2 `.^nC_r=.^nC_s implies` either r=s or r+s=n and P(H)=P(T) in a single trial.
(a)Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1
(b)Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1
(c)Statement-1 is true, Statement-2 is false
(d)Statement-1 is false, Statement-2 is true

A

Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
a
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Probability Exercise 5: Match Type Questions|4 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

Statement-1 If a set A has n elements, then the number of binary relations on A = n^(n^(2)) . Statement-2 Number of possible relations from A to A = 2^(n^(2)) . (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1 (c) Statement-1 is true, Statement-2 is false (d) Statement-1 is false, Statement-2 is true

Statement -1 (1/2)^7lt(1/3)^4 implies 7log(1/2)lt4log(1/3)implies7lt4 Statement-2 If axltay , where alt0 ,x, ygt0 , then xgty . (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true.

Statement-1: If N the number of positive integral solutions of x_(1)x_(2)x_(3)x_(4)=770 , then N is divisible by 4 distinct prime numbers. Statement-2: Prime numbers are 2,3,5,7,11,13, . . a. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1 b. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1 c. Statement-1 is true, statement-2 is false d. Statement-1 is false, statement-2 is true

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation (logx)^2+logx^2-3=0 has two distinct solutions. Statement-2 logx^(2) =2logx.

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 log_x3.log_(x//9)3=log_81(3) has a solution. Statement-2 Change of base in logarithms is possible .

The line L_1:""y""-""x""=""0 and L_2:""2x""+""y""=""0 intersect the line L_3:""y""+""2""=""0 at P and Q respectively. The bisector of the acute angle between L_1 and L_2 intersects L_3 at R. Statement-1 : The ratio P R"":""R Q equals 2sqrt(2):""sqrt(5) Statement-2 : In any triangle, bisector of an angle divides the triangle into two similar triangles. Statement-1 is true, Statement-2 is true ; Statement-2 is correct explanation for Statement-1 Statement-1 is true, Statement-2 is true ; Statement-2 is not a correct explanation for Statement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation 7^(log_7(x^3+1))-x^2=1 has two distinct real roots . Statement -2 a^(log_aN)=N , where agt0 , ane1 and Ngt0

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 log_10xltlog_3xltlog_exltlog_2x (xgt0,xne1) Statment If 0ltxlt1 , then log_xagtlog_xbimplies0ltaltb .

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function. a. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1 b. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1 c. Statement-1 is true, statement-2 is false d. Statement-1 is false, statement-2 is true

Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 For a singular matrix A , if AB = AC rArr B = C Statement-2 If abs(A) = 0, thhen A^(-1) does not exist. a. Statement- is true, Statement -2 is true, Statement-2 is a correct explanation for Statement-1 b. Statement-1 is true, Statement-2 is true, Sttatement - 2 is not a correct explanation for Stamtement-1 c. Statement 1 is true, Statement - 2 is false d. Statement-1 is false, Statement-2 is true