SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Select the correct statements:
I. P(E) + P(E) = 0.
II. If an event is certain, than the probability of that event is 1.
III. E E = S, where E is an event, E its complement and S the sample space.
IV. Number of events in the complement of selecting a king from a pack of cards is 50.


A ) II and III only
B ) I and III only
C ) I and IV only
D ) II, III and IV only

Steps to derive

1 P(E) + P(E) = 1.

2 Probability of an event which is certain to occur is 1.

3 E E = S.

4 Number of events in the complement of selecting a king from a pack of cards is 48.

5 Only statements II and III are correct.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • Which of the following graphs of different functions is increasing on the interval [- 4, 0..
  • The values of y for different values of x are shown. What is the nature of y as a function..
  • Choose the interval on which the function y = (x + 2)2 is increasing...
  • Choose the interval on which the function y = |x + 2| + |x - 1| - 2 is decreasing...
  • Which of the following is true for the function y = 16-x2?..
  • Which of the following is true for any function f (x) ∀ x ∈ R?..
  • Which of the following functions is even?..
  • Choose the graph of an odd function...
  • Find the horizontal asymptote of the function f (x) = 4x2 + 22x2 - 3...
  • Choose an input-output table for the function y = 2x - 3, for x = 5, 10, 15, 20, and 25...
  • Choose an input-output table for the function y = 3(10 - x), for x = 0, 2, 4, 6, and 8...
  • Which function has an output of m = 32 for an input of n = 10?..
  • Which function is best reprsented by the table?Input(x)12345Output(y)47101316..
  • Which function is best represented by the table?Input(x)123456Output(y)102030405060..
  • Which table represents a function?..
  • Which of the line graphs represents the function given by the input-output table?..
  • Choose the range of the function from the input-output table.Input(x)123456Output(y)615201..
  • Katie had $8 with her. She sold n apples at $4 each and earned some money. Identify an equ..
  • Nina and Katie wanted to organize a farewell party for their seniors. They collected an am..
  • Which function has an output of y = 0 for an input of x = - 2?..
  • Which table represents a function?..
  • The annual income of Sam is shown in the table. If y represents the annual income and t th..
  • Choose the best fitting line for the data shown in the table and estimate the value of y w..
  • The number of women competing in a beauty contest from 1995 to 1999 is shown in the table...
  • Positive correlation means ______...
  • Negative correlation means _______...
  • Points that cannot be approximated by a line have..
  • State whether x and y suggest a linear relationship in the graph...
  • What type of correlation does x and y have?..
  • What type of correlation does x and y have?..
  • Draw a scatter plot for the data and find the equation of the line that best fits the data..
  • Draw a scatter plot for the data and find the equation of the line that best fits the data..
  • Draw a scatter plot for the data and find the equation of the line that best fits the data..
  • Draw a scatter plot for the data and find the equation of the line that best fits the data..
  • Choose an equation that best fits the data for the scatter plot shown...
  • Find the equation of the best fitting line for the scatter plot shown, if possible...
  • Choose an equation that best fits the data shown in the scatter plot...
  • The scatter plot shows John's weight loss recorded on a weekly basis by his doctor. In the..
  • The scatter plot shows John's weight recorded on a weekly basis by his doctor. In the scat..
  • The table shows the heights to the nearest inch(in) and the weights to nearest pound(lb) o..
  • The average annual salary s of the workers of a company in year t is shown in the table. ..
  • The scatter plot shows the population of California from 1997 to 2002. What kind of correl..
  • What kind of correlation does the statement describe? "As the number of workers increases,..
  • Solve the system: 4x + y = 96x2 = 8x + y..
  • Solve the system: x2 + y2 = 50 x = y..
  • Solve the system: x2 + 2y2 = 48y = x..
  • Solve the system: 6x2 - y2 = 125y = x..
  • Solve the system: xy = 9y = x..
  • Solve the system: x2 + y2 = 7y2 = 6x..
  • Find the real solutions of the system of equations. x2 + 8y2 = 9 and x2 = y..
  • Find the real solution of the system xy = 125, y2 = x...
  • Find the real solutions of the system of equations. x2 + 3y2 = 16 and x2 - 3y2 = 16..
  • Find the real solutions of the system of equations. x2 + 9y2 = 6 and xy = 1..
  • Find the real solutions of the system: x2 + y2 = 4 and x2 + 5y2 = 20..
  • Find the real solutions of the system. 16x2 + 16y2 = 146 and x2 + 16y2 = 11..
  • Find the real solutions of the system. x2+y2=567 and x2-7y2 = - 81..
  • Find the real solutions of the system. x2 + y2 = 13 and xy = 12..
  • Find the real solutions of the system. x2 - y2 = 16 and xy = 17..
  • Find the real solutions of the system.x2 - 9y2 = 9 and x2 - 10y2 = 9..
  • Find the real solution of the system. 1x+1y = 25 and xy = 25..
  • Find the real solutions of the system. x2 + 2y2 = 2 and 2x2 + y2 = 1 ..
  • Find the real solutions of the system. (x - 6)(y - 7) = 1 and y = x + 1..
  • Find the length and width of a rectangle in cm whose area is 36 cm2 and length is 3 cm les..
  • The area of a parallelogram is 36 cm2. The height of it is 9 cm more than its base. Find t..
  • The sum of the squares of length, width of a rectangle is equal to 45 cm2 and the area of ..
  • The sum of the squares of the two positive numbers is 160 and the first number is 3 times ..
  • Find the two positive numbers whose sum of squares is 13 and the difference of their squar..
  • Choose the graph which is the solution set of the conjunction 3x < 369 and 5 + x > 1..
  • Choose the graph which is the solution set of the conjunction 2 + x >5 and 3x - 5 ≥ 7...
  • Choose the graph which is the solution set of the disjunction 4z - 3 ≥ 41 or 3z + 5 &le..
  • Solve 3x > - 15 and 9x < 27 and graph the solution set if it is not the empty set...
  • Solve and graph the solution set of the conjunction 2x + 1 ≥ - 3 and 2x - 3 < 1...
  • Solve and graph the solution set of - 3 < 2x - 5 < 7...
  • Solve and graph the solution set of - 58 < 3x + 2 ≤ 17...
  • Find the solution set of the disjunction x + 2 < - 10 or x - 2 > 9...
  • Find the solution set of the disjunction x + 3 > 6 or 2x - 2 ≤ - 12...
  • Solve the conjunction 3(x + 7) ≥ 6 and 2(2 + x)7 ≥ 2...
  • Find the solution set of the disjunction 6 + 11m < 5m - 30 or 2(4 + 5m) + 6 > 64...
  • Solve and graph the solution set of the disjunction 2x-1 > 2 or x4-x ≥ 3...
  • Find the solution set of the disjunction. 2(4x + 4) ≥ 58 or 2(2x-3)3 ≤ 6 ...
  • Solve and graph the compound inequality. 5y - 4 > 16 and 3y + 2 < 17..
  • Solve and graph the compound inequality.13x > 39 and 12x < - 24..
  • Solve and graph the solution set x < 3x + 4 ≤ x + 20...
  • Find the solution set of 5(2s + 2) - 42s > 39 and 29(s - 2) < 41(s - 2)...
  • Solve and graph the solution set of the disjunction z6 + 3 > 5 or z3 - 4 < - 2...
  • Solve and graph the solution set of 2x-54x-1 < - 1 or 0.5x-1 < 5...
  • Find the solution set of 6(t - 3) - 5(t - 3) > 4 and 4(2t - 1) - 2(2t - 3) < 14..
  • Find the solution set of 4(w - 2) - 8 > 12 or 8 + 3(2 - w) > 32...
  • Find the solution set of xx+2 ≤ 12 and 4(4 - x) > 2x + 16...
  • Solve for y: y15+y3 < 0 or y24-y32 ≥ 3..
  • Solve for z: 2(2z + 3) + 3(z - 1) ≤ 38 or 3(z - 2) - 5 > 8 - 2(z - 4)..
  • Solve for t: 4t + b > 3(b + t) and 9t + 5t - b < 27b, where b > 0...
  • Solve for p: r + 7p > 8 and r + 7p < 3..
  • The centers of two circles are 11 cm apart. If the radius of the first circle is between 2..
  • Find the possible values for the third side c of ΔABC, if it is acute angled and the..
  • Find the possible values of c for the obtuse angled triangle ABC in the figure. The values..
  • The width of a rectangular container is 1m. less than the length and 1m. more than the hei..
  • The dimensions of a piece of tin are 18ft and 14ft. From this piece of tin an open box wit..
  • There are four rational numbers in which the product of the first, second and fourth numbe..
  • Two more than twice the volume of a die is equal to three times the volume of a rectangula..