Question

a bag contain 5red ball and some blue balls.if the probablability of drawing a blue ball is double that of a red ball determine the number of blue ball in the ba​

Answer 1

total number of balls=5y

probability of blue ball=3×probability of red ball_

Answer 2

${\textsf{\textbf{\underline{\underline{There are 15 balls in the bag. \::}}}}}$

Step-by-step explanation:

Given that:

• A bag contains 5 red balls and some blue balls.

Let us assume:

• A bag contains x blue balls.
• Total number balls in the bag = 5 + x

To Find:

• The number of balls in the bag.

Formula used:

• P(E) = F/T

Where,

• P = Probability
• E = Events
• F = Favourable outcomes
• T = Total outcomes

Now we have,

• Total outcomes = 5 + x
• Favourable outcomes for blue ball = x
• Favourable outcomes for red ball = 5

Given that:

• The probability of drawing a blue ball is double that of a red ball.

P(drawing a blue ball) = 2 × P(drawing a red ball)

⇒ x/(5 + x) = 2 × 5/(5 + x)

Cancelling (5 + x) both sides.

⇒ x = 2 × 5

⇒ x = 10

${\textsf{\textbf{\underline{\underline{∴ Total number balls in the bag = 5 + x = 5 + 10 = 15\::}}}}}$