Question

Q in image (probability)

Answer 1

Answer:

refer to the attachment

Answer 2

Answer:

24

Step-by-step explanation:

Let us assume number of blue balls as x and A be the event when drawing out blue and B be the event when drawing out a red ball.

so, total no. of balls in the bag is 8 + x (no. of red balls = 8)

then,

P = number of favourable outcomes/total number of outcomes

$P(A) = \frac{x}{8 + x}$

probability, of drawing a rec ball is

$P(B) = \frac{8}{8 + x}$

according to question prob. of drawing blue ball is 3 times that of a red ball

so, we can write

$P(A) = 3(P(B) ) \\ \frac{x}{8 + x} = 3( \frac{8}{8 + x} ) \\ \frac{x}{8 + x} = \frac{24}{8 + x} \\ x = 24$

Therefore, number of blue balls is 24.