Question

22 There are only blue cubes, red cubes and yellow cubes in a box.

Answer 1

Answer:

Colour ---- Probability

Blue ----- 0.2

Red ------- 0.4

Yellow ------ 0.4

Step-by-step explanation:

Given

Colour ---- Probability

Blue ----- 0.2

Red -------

Yellow ------

Required

Complete the table

In probability, all probabilities add up to 1.

i.e.

$P(Blue) + P(Red) + P(Yellow) = 1$

Substitute 0.2 for P(Blue)

$0.2 + P(Red) + P(Yellow) = 1$

$P(Red) + P(Yellow) = 1 - 0.2$

$P(Red) + P(Yellow) = 0.8$

From the question, we understand that the frequency of yellow and red balls are the same.

Hence:

$P(Red) = P(Yellow)$

$P(Red) + P(Yellow) = 0.8$ becomes

$P(Red) + P(Red) = 0.8$

$2P(Red) = 0.8$

Make P(Red) the subject

$P(Red) = 0.4$

Recall that:

$P(Red) = P(Yellow)$

Hence,

$P(Yellow) = 0.4$

So, the complete table is:

Colour ---- Probability

Blue ----- 0.2

Red ------- 0.4

Yellow ------ 0.4