Question

Read the instructions first and then chose the correct/best answer.

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Answer 1

Step-by-step explanation:

Solutions :-

18) Option (B)

Except figure -2 ,remaining are all represents parallel lines

19)Option(A)

2x+10 = 90°

=> 2x = 90-10

=> 2x = 80°

=> x = 40°

20) Option (B)

If a die thrown once then the possible outcomes are 1,2,3,4,5,6

Total number of all possible outcomes = 6

21)Option B

If we flip two coins simultaneously then total number of possible outcomes 2² = 2×2 = 4

They are : (H,H) ,(H,T) ,(T,H) ,(T,T)

Sample space = {(H,H) ,(H,T) ,(T,H) ,(T,T)}

Where H = Head ,T= Tail

22)Option (A)

There are 52 cards in a deck of cards

They are divided into two colours red and black

Again they are divided into four suits

Clubs, Spades , Diamonds,Hearts

In each suit there is one ace

Total aces in the deck of cards = 1+1+1+1=4

Total possible outcomes to ace = 4

23)Option (C)

In (2,5) first is even and second is odd

24) Option (C)

There are 7 days in a week

Total number of all possible outcomes = 7

25)Option (B)

The day before Tuesday is Monday is true

It is sure or certain event.

26) Option (C)

Tree diagram is the best counting method to illustrate our ancestral Probability

27)Option (D)

If three coins flipped simultaneously then the total number of possible outcomes = 2³

=> 2×2×2

= 8

28)Option (C)

The number of favourable outcomes to black cards is 26

29) Option (B)

The number of favourable outcomes to black spades = 13

30)Option (C)

Number of black spade cards = 13

Number of favourable outcomes = 13

Total number of playing cards = 52

Total number of all possible outcomes = 52

Probability of an event= Number of favourable outcomes/ Total number of all possible outcomes

= Probability of getting a black spade cards

= 13/52

= 1/4

31)Option (B)

If A die is rolled then the number of all possible outcomes = 6

prime numbers = 2,3,5

Number of favourable outcomes = 3

Probability of an event= Number of favourable outcomes/ Total number of all possible outcomes

Probability of getting a prime number

= 3/6

=> 1/2

Used formulae:-

• Probability of an event= Number of favourable outcomes/ Total number of all possible outcomes

• If n coins flipped simultaneously then the total number of possible outcomes = 2^n

• The probability of a sure or certain event is 1.