Question

. The probability of drawing a blue cube from a hat is 80%. What is the probability of drawing 4 blue cubes in a row

Answer 1

Given:

The probability of drawing a blue cube from a hat is 80%.

To find:

The probability of drawing 4 blue cubes in a row.

Solution:

Let E be the event of drawing a blue cube from a hat.

$P(E)=80\%$

$P(E)=\dfrac{80}{100}$

$P(E)=0.8$

We need to find the probability of drawing 4 blue cubes in a row.

Let as consider each cube is replaced after being drawn. So, that probability of drawing a blue cube from a hat remains same.

Probability of drawing 4 blue cubes in a row is

$P(E)\times P(E)\times P(E)\times P(E)=(P(E))^4$

                                                          $=(0.8)^4$

                                                          $=0.4096$

Therefore, the required probability is 0.4096.