Question

1.
A bag contains 16 red, 8 black and 8 blue marbles. If a marble is drawn
randomly, then find the probability of drawing
1) Black marble
ii) blue marble
iii) green marble

Answer 1

Answer:

8/32, 8/32, 16/32

Step-by-step explanation:

(a) Total no. of marbles = 16 + 8 + 8 = 32

(1) No. of black marbles marbles= 8

probability of getting a black marble=   8/32

(2) No. of blue marbles= 8

probability of getting a blue marble=  8/32  

(3) No. of red marbles=16

probability of getting a red marble= 16/32

​Hope it helps

Answer 2

Step-by-step explanation:

Given :-

A bag contains 16 red, 8 black and 8 blue marbles.

To find :-

If a marble is drawn

randomly, then find the probability of drawing

1) Black marble

ii) blue marble

iii) green marble

Solution :-

Given that

Number of red marbles in a bag = 16

Number of favourable outcomes to red marbles

= 16

Number of black marbles in the bag = 8

Number of favourable outcomes to black marbles = 8

Number of 8 blue marbles in the bag = 8

Number of favourable outcomes to blue marbles

= 8

Number of all marbles in the bag

= 16+8+8 = 32

Total number of all possible outcomes = 32

I) Probability of drawing Black marble :-

Number of black marbles in the bag = 8

Number of favourable outcomes to black marbles = 8

Total number of all possible outcomes = 32

We know that

Probability of an event E is P (E)

= Number of favourable outcomes / Total number of all possible outcomes

Probability of getting a black marble

=> P(Black) = 8/32

=> P(Black) = 1/4

II) Probability of drawing Blue marble :-

Number of blue marbles in the bag = 8

Number of favourable outcomes to blue marbles = 8

Total number of all possible outcomes = 32

We know that

Probability of an event E is P (E)

= Number of favourable outcomes / Total number of all possible outcomes

Probability of getting a blue marble

=> P(Blue ) = 8/32

=> P(Blue) = 1/4

III.Probability of drawing green marble :-

There is no green marble in the bag. So there is no chance to get green marble.

It is an impossible event.

The probability of getting a green marble

P(Green) = 0

Answer:-

i) Probability of getting a black marble = 1/4

ii) Probability of getting a blue marble = 1/4

iii) probability of getting a green marble = 0

Used formulae:-

→ Probability of an event E is P (E)

= Number of favourable outcomes / Total number of all possible outcomes

→ Probability of an impossible event is 0