### Dictionary Rank of a Word | Permutations & Combinations

PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

### Math Assignment Ch-15 Class X | Probability

Maths Assignment on Probability
Class 10 Chapter 15
Extra questions on the topic probability for classes IX and  X. Important questions on Probability for classes 9th and 10th for board examinations. Useful mathematics assignment on Probability for board examinations

### Q 1. One card is drawn from the deck of 52 playing cards. Find the probability of getting

a) A face card                    [Ans 3/13]

b) A red face card             [Ans 3/26]

c) A spade card                 [Ans 1/4]

d) A king of red color        [Ans 1/26]

e) A jack of heart               [Ans 1/52]

f) An ace card                    [Ans 1/13]

g) A card of spade or ace   [Ans 4/13]

h) Either king or queen      [Ans 2/13]

i) Neither king nor queen  [Ans 11/13]

j) Neither red nor queen     [Ans 6/13]

k) 10 of black suit                 [Ans 1/26]

### Q2. A bag contains 3 white, 4 red, and 7 black balls. Find the probability of getting

a) A black ball                [Ans 1/2]

b) A red or a black ball   [Ans 11/14]

c) A red white or black ball   [Ans 1]

d) Not a red ball              [Ans 5/7]

e) Neither white nor black ball

[Ans 2/7]

f) Not a white ball        [Ans 11/14]

### Q3. Two dice are thrown , what is the probability of getting

a) Difference of the numbers on the two dice is 2   [Ans 2/9]

b) Sum of numbers on the two dice is 10         [Ans 1/12]

c) Sum of numbers on two dice is more than 9   [Ans 1/6]

d) Six will come up at least once    [Ans 11/36]

e) Both are odd number    [Ans 1/4]

f) Six as a product.       [Ans 1/9]

g) A doublet                   [Ans 1/6]

h) Getting same number   [Ans 1/6]

i) Getting different number  [Ans 5/6]

j) A total of 9 or 11        [Ans 1/6]

### Q5. What is the probability of getting  53 Friday in

a) A Leap Year             [Ans 2/7]

b) In a non leap year    [Ans 1/7]

### Q7. A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. Find the probability that it is

a) Not red                  [Ans 5/6]

b) A white ball      [Ans 1/3]

### Q8. When 3 coins are tossed find the probability of getting .

a)Two tails                        [Ans 3/8]

b) At least two tails          [Ans 1/2]

c) At most two tails          [Ans 7/8]

d) At most 3 heads           [Ans 1]

e) At least 3 heads            [Ans 1/8]

f) Exactly two heads        [Ans 3/8]

### Q9. When two unbiased coins are tossed . Then find the probability of getting.

a) Exactly one head              [Ans 2/4 = 1/2]

b) Exactly one tail                 [Ans 2/4]

c) At least two tails               [Ans 1/4]

d ) A most two tails           [Ans 4/4 = 1]

e) Not less than one head   [Ans 3/4]

f) No tail                           [Ans 1/4]

### Q10. The King , Queen , and Jack of club are removed from a deck of 52 playing cards. One card is selected from the remaining cards. Find the probability of getting

a) A heart                 [Ans 13/49]

b) A club                   [Ans 10/49]

c) A king                   [Ans 3/49]

d) A 10 of heard       [Ans 1/49]

## LEVEL - 2

### Q 11. Find the probability that a number selected from 1,2,3,4……….,35

a) A prime number [Ans 11/35]
b) A multiple of 7 [Ans 1/7]
c) Multiple of 3 or 5 [Ans 16/35]

### Q 12. A letter of English alphabet is chosen at random. Find the probability that the letter is

a) A consonant [Ans 21/26]
b ) A vowel      [Ans 5/26]

a) Letter M or A
b) Letter T
c) Letter E

a) A vowel
b) A consonant

### Q 15. Three digit numbers are made using the digits 0, 5 and 7 (without repetition of digits). If a number among them is selected at random, what is the probability that the number

a) Will be a multiple of 5 [Ans 3/4]
b) Will be a multiple of 9 [Ans 0]
c) Will end with 7 [Ans 1/4]
d) Does not end with zero [Ans 2/4]

### Q 16. Sum of the digits of two digit number is 12 . Write all possible numbers, and find the probability of.

a) Getting odd number
b) Getting a number divisible by 4
c) Getting a number less than 30
d) Getting a number greater than 50

Hint : All possible numbers with sum 12 are:  [39, 93,48, 84, 57, 75, 66]

### Q 17. A bag contains 5 red balls , 7 white balls, 5 green balls and 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball is

a) Red or Black
b) Not Green
c) Neither white nor Black

### Q 18. A bag contains 48 balls of which x are red, 2x are white, 3x are blue. A ball is selected at random, what is the probability that it is

a) not red       b) white
c) white or blue

### Q 20. Fill in the blanks

a) Probability of sure event…………………………..

b) Probability of impossible event……………………

c) Range of probability………………………………

d) Probability of getting sum 13 in single through of a pair of dice………….

e)   P(E) + P(not E) = …………………..

f) What are  equally likely events

 Ans 1 0 0 ≤ P(E) ≤ 1 0 1
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