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

Question

asked Nov 17, 2021 24.2k views

1 Answer

Crftr · Answer 1 · 2021-11-21T07:48:59+0000

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)=(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)* P(E)* P(E)* P(E)=(P(E))^4

=(0.8)^4

=0.4096

Therefore, the required probability is 0.4096.