probability problems and solutions

Example: A coin is tossed 1000 times with the following frequencies: Head : 455 ,Tail : 545 Compute the probability for each event. Solution: S ince the coin is tossed 1000 times , the total number of trials is 1000 =Let we say , the event of getting Head..

Problems On Theortical Probability :

The following online math problems give a step by step explanation . Q1 : Two coins of different denomination are tossed simultaneously. What is the probability of gettion (i) on head ? (ii) at least on head ? (iii) at the most one head ? (iv) no head ? (v) two heads ? Solution : Possible outcomes are : HH, TH, ..

Probability: Dice problem

Example :six dice are thrown simultaneously .Find the probability that (i) all of them show the same face. (ii)all of them show different faces. (iii)exactly three of them show the same face and remaining three show different faces (iv)atleast four of them show ..

problems based on addition theorems of probability

NOTE We will be solving the following problems by using addition theorems bu these problems can be solved otherwise also. Students are advised to do these problems without using addition theorem. EXAMPLE 15 Find the probability of getting an even number on the first die or a total of 8 in a single thr..

probability calculations

We now know that the concept of equilibrium of a state and the probability of its occurrence are related. It is therefore important to know* how the probabilities are calculated. This calculation forms the backbone of the^analysis of all statistical problems. We will make probability calculations on t..

entropy and probability

. Show that the number of accessible states changes exponentially with volume. Solution We know that If the number of accessible states changes from Qj to corresponding to a chance in volume AV with fixed and N , we get Problem 11.13 10 m 3 of air at 27 0 C and atmospheric pressure is allowed to expand by a factor of 10"*. Ther..

Solutions

The greatest common factor is 8 6Ans : Given equation is xy + 3y 2x 6 = 0 arrange them in an order now. We get xy 2x + 3y 6 = 0 x (y 2) + 3 (y 2) = 0 (x + 3) (y 2) = 0 So here (x + 3) and ( y 2) are the factors 7Ans: Given that. 5(A) +6(O) =$40 Each orange is $3 So we get 5(A) + 6(O) = $40 5(A) + 6(3) = 40 5(A) + 18 ..

Solution

, 9 . f --r- = jcosec 3xdx-^- log tan ^ +c. J 3 sin jc - 4 sin x Jsin3x J 3 2 10. a-b-(x-b)-(x-a) sin ( a~b) = sin [(x -b)-(x- a)]. [Note the method of solving such problems. We begin with sin (a - b ) and then write a - b as (x - b) - (x ~ a) before applying the formula for the sine function.] f__- =!_f sin <"- 6 > ' ^ J sin (x - ..

problems and solutions

1. Write the structures and names of organic compounds having molecular formula C 3 H g O. Solution : Since only one oxygen atom is present the compound may be of any of the classes : monohydric alcohol, ether, or carbonyl (aldehyde or ketone). Double Bond Equivalent (DBE) = ( 2 * 3 + 2 ) ~ 8 = 0 The ..

Probability calculator examples

The following examples are from math homework problems. Example 1: A spinner wheel has 12 equal divisions and numbered from 1 to 12. What is the probability that you spin on a prime number? Solution This is a problem on normal probability as all the possible outcomes are 12. Let us..

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