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Page No 282:

Answer:

(i) The possible outcomes are head (H) and tail (T).

(ii) The possible outcomes are HH, HT, TH and TT.

(iii) The possible outcomes are 1, 2, 3, 4, 5 and 6.

(iv) The total number of possible outcomes is 52.

Page No 282:

Answer:

The possible outcomes in a coin toss are H and T.
Total number of outcomes = 2
Number of tails = 1
∴ Ptail=12

Page No 282:

Answer:

The outcomes when two coins are tossed are HH, HT, TH and TT.
i.e., total no. of possible outcomes = 4

(i) Getting both tails means TT.
Number of outcomes with two tails = 1
∴ Pboth tails=14

 
(ii) Getting at least 1 tail means HT, TH and TT.
​With at least one tail, total number of outcomes = 3
∴ Pat least 1 tail=34

(iii) Getting at most 1 tail means HH, HT and TH.
The number of outcomes for at most 1 tail = 3
∴​Pat most 1 tail=34

Page No 282:

Answer:

Total number of balls = 4+5=9
(i) Number of white balls = 4
∴​ Pwhite ball=49

Number of blue balls = 5
∴​ Pblue ball=59

Page No 282:

Answer:

Total number of balls =5+6+4=15
(i) Number of green balls = 4
∴​ Pgreen ball=415

(ii) Number of white balls = 5
∴​ Pwhite ball=515=13

(iii) Number of balls that are not red (i.e., 5 white and 4 green)= 9
∴​ Pnon-red balls=915=35

Page No 282:

Answer:

Total number of tickets =10+20=30

Number of prize tickets = 10

∴​ Pgetting a prize=1030=13

Page No 282:

Answer:

Total number of bulbs in the box = 100
(i) Number of defective bulbs = 8
∴​ Pdefective bulb=8100=225

(ii) Number of functioning bulbs= 100-8=92
∴​ Pnon-defective bulb=92100=2325



Page No 283:

Answer:

The possible outcomes when a dice is thrown at random are 1, 2, 3, 4, 5 and 6.
Total number of outcomes = 6

(i) ∴​ Pgetting 2=16

(ii) The numbers less than 3 are 1 and 2.
      Number of possible outcomes = 2
      ∴​ Pgetting a number<3=26=13

(iii) A composite number is defined as a number with at least one positive divisor other than itself and unity.
In a dice, 4 and 6 are composite numbers.
Number of possible outcomes = 2
∴​ Pgetting a composite number=26=13

 
(iv) A number not less than 4 can includes 4, 5 or 6.
      Number of outcomes = 3  
      ∴Pgetting a number not less than 4=36=12

Page No 283:

Answer:

Total number of ladies surveyed =200

Number of ladies who dislike coffee =118

If chosen randomly, P(a lady that dislikes coffee) = 118200=59100

Page No 283:

Answer:

Total number of possible outcomes=19
(i) The prime numbers between 1 and 19 are 2, 3, 5, 7, 11, 13, 17 and 19.
     Total number of primes =8   
     ∴ Pprime number=819


(ii) The even numbers between 1 and 19 are 2, 4, 6, 8, 10 ,12, 14, 16 and 18.
      Total number of even numbers=6
     ∴ Peven number=919

(iii) The numbers between 1 and 19 which are divisible by 3 are 3, 6, 9, 12, 15 and 18.
       Total number of possible outcomes = 6
       ∴ Pnumber divisble by 3=619
 
 

 

Page No 283:

Answer:

Total number of possible outcomes=52
(i) There are 4 kings cards (king of hearts, king of diamonds, king of spades and king of cloves)
Number of kings=4
∴ Pking=452=113

(ii) There is a total of 13 spades cards.
Number of spades=13
Pspades=1352=14
(iii) There are 2 red queens in a pack (queen of hearts and queen of diamonds)
Number of red queens =2
Pred queen=252=126

 
(iv) There are 2 black 8s in a pack (8 of cloves and 8 of spades)
Number of black 8s =2
Pblack 8=252=126
 
 

Page No 283:

Answer:

Total number of possible outcomes =52
(i) There are 4 cards of with the number 4 (4 of hearts, 4 of diamonds, 4 of spades and 4 of cloves)
∴ P4 card=452=113
(ii) There are 4 queens in a pack of cards (queen of hearts, queen of diamonds, queen of spades and queen of cloves)
∴ Pqueen=452=113
(iii) There are a total of 26 black cards (13 spade cards and 13 clove cards)
Pblack card=2652=12

Page No 283:

Answer:

(b) 58

The wheel has a total of 5+3=8 sectors.
Number of green sectors = 5
Now, Pgetting a green sector=58

Page No 283:

Answer:

(c) 38

Total number of cards =8
Number of cards with numbers less than 4 =3 (cards with numbers 1, 2 and 3)
Now, Pgetting a number less than 4=38

Page No 283:

Answer:

(b) 12

When two coins are tossed, the possible outcomes are HH, HT, TH and TT.
​Total number of outcomes =4
Number of outcomes with one head and one tail =2
Now, Pone head and one tail=24=12

Page No 283:

Answer:

(d) 25

Total number of outcomes =5
Number of red balls =2
Now, Pred ball=25

Page No 283:

Answer:

(b) 16

The possible outcomes are 1, 2, 3, 4, 5 and 6.
Total number of outcomes =6
Now, P(getting 6) = 16

Page No 283:

Answer:

(a) 12

Total number of outcomes =6 (Numbers: 1, 2, 3, 4, 5 and 6)
The even numbers are 2, 4, and 6.
Number of favourable outcomes =3
Now, Peven number=36=12



Page No 284:

Answer:

(c) 113

Total number of cards =52
Number of queens = 4 (i.e., queen of hearts, queen of diamonds, queen of cloves and queen of spades)
Now, P(queen)=452=113

Page No 284:

Answer:

(b) 126

Total number of cards = 52
Total number of black 6 cards = 2   (6 of spades, 6 of cloves)
Now, P(black 6)=252=126



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