Chapter 12 Checkup

The letters of the word INSTRUMENTAL are each written onto a card and placed in a bag.

Event A: the letter is a vowel

Event B: the letter is in the word NEAT

What is the probability of event B if event A happens?

Mathematical Equivalence

ON

A bag contains seven red and six green balls.
A ball is chosen at random and then replaced.
Then a second ball is chosen at random.

Two events are:

F: the colour of the first ball is red

S: the colour of the second ball is green

If event F does not happen, what is the probability of event S happening?

Mathematical Equivalence

ON

Two fair dice are rolled and the numbers on the dice are added together.

Two events are:

S: the number is a square number

T: the number is a factor of 12

If event S happens, what is the probability of event T happening?

Mathematical Equivalence

ON

Two fair dice are rolled. Two events are:

A: the score on the first dice is a 6

B: the score on the second dice is a 6

Are both event independent or dependent?

• Independent

• Not independent

The first six odd numbers are printed on cards in a bag.
One card is chosen from the bag at random.

Two events are:

P: the number is a prime number

Q: a number is more than 5

Are these events independent or not independent?

• Independent

• Not independent

A bag contains 14 balls which are either red or green.
There are the same number of each colour.

Two balls are chosen at random from the bag.

F: the colour of the first ball is red

S: the colour of the second ball is green

Are these events independent or not independent?

• Independent

• Not independent