# Probability

Questions.

Question 1.

• a) What is the probability of tossing two consecutive heads on a two sided unbiased coin
• b) What is the probability of tossing two heads and a tail in no particular order
• c) What is the probability of tossing two heads and a tail in that particular order
• d) What is the probability of not tossing two heads and a tail in that particular order

Question 2.

Two six sided die are rolled at the same time, what is the probability of the number totalling:

• a) 7
• b) 3
• c) 1

Question 3.

If a mother has given birth to two boys, what is the probability her next child will be a:

• a) girl
• b) boy

Question 4.

What is the probability of rolling a 6 on the dice and heads on the coin?

Question 5.

a. If four cards are drawn without replacement from a deck of cards, what is the probability that they are all kings

b. a. If four cards are drawn with replacement from a deck of cards, what is the probability that they are all kings

Question 6.

If there is a 25% chance a team will win a game of soccer and a 75% chance they will lose, they can not draw.

• a) What is the probability they will win the two matches they play?
• b) What is the probability they will lose the two matches they play?
• c) Win one and lose the other

Question 7.

A student finds a 6 sided die, only with odd numbers, 1, 3, 5, 7, 9, 11 and a normal 6 sided dice

What is the probability of the numbers totalling 8 if both are rolled at the same time?