contestada

22 There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour
blue
red
yellow
Probability
0.2
The number of red cubes in the box is the same as the number of yellow cubes in the box.
(a) Complete the table.

Respuesta :

MrRoyal

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.

[tex]P(Blue) + P(Red) + P(Yellow) = 1[/tex]

Substitute 0.2 for P(Blue)

[tex]0.2 + P(Red) + P(Yellow) = 1[/tex]

[tex]P(Red) + P(Yellow) = 1 - 0.2[/tex]

[tex]P(Red) + P(Yellow) = 0.8[/tex]

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

Hence:

[tex]P(Red) = P(Yellow)[/tex]

[tex]P(Red) + P(Yellow) = 0.8[/tex] becomes

[tex]P(Red) + P(Red) = 0.8[/tex]

[tex]2P(Red) = 0.8[/tex]

Make P(Red) the subject

[tex]P(Red) = 0.4[/tex]

Recall that:

[tex]P(Red) = P(Yellow)[/tex]

Hence,

[tex]P(Yellow) = 0.4[/tex]

So, the complete table is:

Colour ---- Probability

Blue ----- 0.2

Red ------- 0.4

Yellow ------ 0.4

Otras preguntas