Quiz Buster 2 - Matrices & Probability

 

Calculate the following probabilities:

a) Tossing four tails in a row on a non-biased coin.

b) Tossing heads on a coin and rolling a 3 on a die.

c) Picking a green ball and a white ball from a basket with 4 white balls, 5 black balls, 3 green balls and 10 blue balls (with replacement).

Calculate the probability for the following situations:

a) Choosing a 4 or a 3 from a deck of cards.

b) Choosing a heart suit or a queen from a deck of cards.

How many ways can the following situations occur?

a) I flip a coin 4 times and get 2 tails.

b) I rearrange the letters from the word PHONE.

The probability that a regularly scheduled flight departs on time is P(D) = 0.83, the probability that it arrives on time is P(A) = 0.92 and the probability that a plane arrives on time if it has departed on time is P(A|D) = 0.94.

a) Find the probability that a plane departs and arrives on time.

b) Find the probability that a plane departs on time given that it arrived on time.

An assembly line produces monitors. Each monitor has a chance of being broken. Express all answers to the nearest percent.

a) The assembly line has produced 30 monitors. What is the chance that no monitors are broken?

b) What is the percent chance that more than two monitors are broken, out of the 30?