The probability of selection $$= \dfrac{\text{No of favourable outcomes}}{\text{No of total possible outcomes}}$$
Basic Probability
Rarely TestedFormula Video
Question 1
If two dice are rolled, what is the probability that the sum of the faces is going to be even?
Solution
Sum of the faces would be even if both die are even or both are odd. Probability that both the faces are odd is $$\frac{1}{2} * \frac{1}{2}$$ Probability that both the faces are even is $$\frac{1}{2} * \frac{1}{2}$$ So P(E) = $$\frac{1}{2} * \frac{1}{2} +\frac{1}{2}*\frac{1}{2} = \frac{1}{2}$$.
Question 2
If two dice are rolled, what is the probability that at least one of them is going to be even?
Solution
The probability that neither of the faces show an even number is 1/2 *1/2 =1/4. Hence the probability at least one is even is 1-1/4 = 0.75.
Question 3
If a card is drawn randomly from a deck, what is the probability that the card would be neither a red card nor a face card?
Solution
Favourable outcome is if the card is a black card from 1 to 10. There are twenty such cards out of 52. Hence p = 20/52 = 5/13.
Log in to view all questions
Login| Name | Date Taken | Score | Status |
|---|---|---|---|
| Formula Test 1 | NA | NA | |
| Formula Test 2 | NA | NA | |
| Formula Test 3 | NA | NA | |
| Formula Test 4 | NA | NA | |
| Formula Test 5 | NA | NA | |
| Formula Test 6 | NA | NA | |
| Formula Test 7 | NA | NA | |
| Formula Test 8 | NA | NA | |
| Formula Test 9 | NA | NA | |
| Formula Test 10 | NA | NA | |
| Formula Test 11 | NA | NA | |
| Formula Test 12 | NA | NA | |
| Formula Test 13 | NA | NA | |
| Formula Test 14 | NA | NA | |
| Formula Test 15 | NA | NA | |
| Formula Test 16 | NA | NA | |
| Formula Test 17 | NA | NA | |
| Formula Test 18 | NA | NA | |
| Formula Test 19 | NA | NA | |
| Formula Test 20 | NA | NA | |
| Formula Test 21 | NA | NA | |
| Formula Test 22 | NA | NA | |
| Formula Test 23 | NA | NA | |
| Formula Test 24 | NA | NA | |
| Formula Test 25 | NA | NA | |
| Formula Test 26 | NA | NA | |
| Formula Test 27 | NA | NA | |
| Formula Test 28 | NA | NA | |
| Formula Test 29 | NA | NA | |
| Formula Test 30 | NA | NA | |
| Formula Test 31 | NA | NA | |
| Formula Test 32 | NA | NA | |
| Formula Test 33 | NA | NA | |
| Formula Test 34 | NA | NA | |
| Formula Test 35 | NA | NA | |
| Formula Test 36 | NA | NA | |
| Formula Test 37 | NA | NA | |
| Formula Test 38 | NA | NA | |
| Formula Test 39 | NA | NA | |
| Formula Test 40 | NA | NA | |
| Formula Test 41 | NA | NA | |
| Formula Test 42 | NA | NA | |
| Formula Test 43 | NA | NA | |
| Formula Test 44 | NA | NA | |
| Formula Test 45 | NA | NA | |
| Formula Test 46 | NA | NA | |
| Formula Test 47 | NA | NA | |
| Formula Test 48 | NA | NA | |
| Formula Test 49 | NA | NA | |
| Formula Test 50 | NA | NA | |
| Formula Test 51 | NA | NA | |
| Formula Test 52 | NA | NA | |
| Formula Test 53 | NA | NA | |
| Formula Test 54 | NA | NA | |
| Formula Test 55 | NA | NA | |
| Formula Test 56 | NA | NA | |
| Formula Test 57 | NA | NA | |
| Formula Test 58 | NA | NA | |
| Formula Test 59 | NA | NA | |
| Formula Test 60 | NA | NA | |
| Formula Test 61 | NA | NA | |
| Formula Test 62 | NA | NA | |
| Formula Test 63 | NA | NA | |
| Formula Test 64 | NA | NA |
Formula Test 1
Not attempted
Formula Test 2
Not attempted
Formula Test 3
Not attempted
Formula Test 4
Not attempted
Formula Test 5
Not attempted
Formula Test 6
Not attempted
Formula Test 7
Not attempted
Formula Test 8
Not attempted
Formula Test 9
Not attempted
Formula Test 10
Not attempted
Formula Test 11
Not attempted
Formula Test 12
Not attempted
Formula Test 13
Not attempted
Formula Test 14
Not attempted
Formula Test 15
Not attempted
Formula Test 16
Not attempted
Formula Test 17
Not attempted
Formula Test 18
Not attempted
Formula Test 19
Not attempted
Formula Test 20
Not attempted
Formula Test 21
Not attempted
Formula Test 22
Not attempted
Formula Test 23
Not attempted
Formula Test 24
Not attempted
Formula Test 25
Not attempted
Formula Test 26
Not attempted
Formula Test 27
Not attempted
Formula Test 28
Not attempted
Formula Test 29
Not attempted
Formula Test 30
Not attempted
Formula Test 31
Not attempted
Formula Test 32
Not attempted
Formula Test 33
Not attempted
Formula Test 34
Not attempted
Formula Test 35
Not attempted
Formula Test 36
Not attempted
Formula Test 37
Not attempted
Formula Test 38
Not attempted
Formula Test 39
Not attempted
Formula Test 40
Not attempted
Formula Test 41
Not attempted
Formula Test 42
Not attempted
Formula Test 43
Not attempted
Formula Test 44
Not attempted
Formula Test 45
Not attempted
Formula Test 46
Not attempted
Formula Test 47
Not attempted
Formula Test 48
Not attempted
Formula Test 49
Not attempted
Formula Test 50
Not attempted
Formula Test 51
Not attempted
Formula Test 52
Not attempted
Formula Test 53
Not attempted
Formula Test 54
Not attempted
Formula Test 55
Not attempted
Formula Test 56
Not attempted
Formula Test 57
Not attempted
Formula Test 58
Not attempted
Formula Test 59
Not attempted
Formula Test 60
Not attempted
Formula Test 61
Not attempted
Formula Test 62
Not attempted
Formula Test 63
Not attempted
Formula Test 64
Not attempted
Other Probability, Combinatorics Formulas
Arrangement, permutation and combination formulas
Expected value
Binomial Theorem
Basic Counting
Partitioning
Fundamental principle of probability theory
Derangements
Pigeonhole Principle
Bayes theorem
Number of Integral Solutions
Probability formulas
Rank of a word
Circular arrangement
Arrangement with repetitions
