Home Task 1 Good Components

Situation:

• Star Electronics, Inc. received two supplies of the same type components for their production, 150,000 components from supplier #1 and 50,000 components from supplier #2.
• Both supplies were randomly mixed up in one big storage.
• Later, Star Electronics, Inc. has figured out that the components from supplier #2 cannot be used for production due to their design incompatibility.
• Star Electronics plans to make four devices, each uses one of the supplied components.
• All four components for four devices were randomly picked from the supply storage.

Question:

What is the probability that at least 3 of 4 produced devices would properly function? (in other words, what is the probability that at least 3 of 4 randomly picked components are from supplier #1).

Home Task 2 Flipping a Good Coin

Situation:

You flip a good coin four times.

Question:

What is the probability get exactly two heads and two tails in result in any order?

Home Task 3 Dice Rolling

Situation:

You role three good dice once.

Question:

What is the probability that you have number 4 on all three dice?