find the difference between the probability of getting a sum of 8 and the probability of getting a sum of 3 when two number cubes are rolled.

Find the difference between the probability of getting a sum of 8 and the probability of getting a sum of 3 when two number cubes are rolled. => 1 18 or 1 12 o..

We have the following conditions on the variables x and y. a) Sum of the numbers is atleast 15 i.e., x + y 15 b) Difference of the numbers is at most 7 i.e., x - y 7 c) Since the x and y should be positive, we have two more conditions x > 0, ..

Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the in..

Find two positive numbers whose sum is at least 15 and whose difference is at the most 7 such that their product is maximum. Before solving this problem, we have to state the prob..

Let A be the event that one die shows up 4. Then the outcomes which are favourable to A are (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (1, 4), (2, 4), (3, 4), (5, 4), (6, 4) (a) Let B be the event of getting a 5 in one of the dies. Then the o..

where l is a finite number and is equal to np. The sum of the probabilities P(X = r) or simply P(r) for r = 0, 1, 2, is 1. This can be seen by putting r = 0, 1, 2, in (4) and adding all the probabilities. Also, each of the probabiliti..

A bag contains 5 white and 8 black balls, 2 balls are drawn at random. Find a) The probability of getting both the balls white, when the first ball drawn, is replaced. b) The probability of getting both the balls white, when the..

1. The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. 2. There are three methods to find mean for a frequency distribution. (i) Direct method, (ii) Short-cut method, (iii) Step-deviation ..

Events are said to be independent if the occurrence of one event does not affect the occurrence of others. Observe in case(a) of above example, The probability of getting a white ball in the second draw does not depend on the occurrence of the event on the first draw. However i..

Objective Function: The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expression. Constraints: A linear equation represents a s..