Probability and Odds

Tree Diagram

100

Draw a tree diagram for flipping a coin twice.

Reveal your answer.

Compare to mine.                           

200

Draw a tree diagram to list the theoretical probability of flipping a coin and rolling a 6 sided dice.

Reveal your answer.

Compare to mine.

300

What is a tree diagram useful for?

A tree diagram allows us to see all the possible outcomes and find the theoretical probability of favourable outcomes.

400

I roll 2 six-sided dice. Use a tree diagram to show all the possible outcomes.

Reveal your answer.

Compare to mine.

500

Neither Austin nor Jack likes to set the table for dinner. They toss a coin to decide who will set the table. Austin always picks tails. Draw a tree diagram to show the possible outcomes and find the probability that Austin will set the table three days in a row.

Reveal your diagram.

1/8 = .125 = 12.5% = 13% rounded

Probabilities- % / .

100

Find the probability of rolling a dice and getting a 2.

1/6 = .16 = 16.66% = 17% rounded

200

Find the probability of pulling a card that is a prime number from a deck of cards. (Face cards do not count as numbered cards)

4/52 = 1/13 = .0769 = 7.69% = 8% rounded

300

A number cube is labelled 1 to 6. A coin is tossed and the cube is rolled. Find the probability of getting a tail and a prime number.

3/12 = 1/4  = .25 = 25%

400

Find the probability of getting a product that is 12 when rolling two dice and multiplying them together. 

4/36 = 1/9 = .11111 = 11.11% = 11% rounded

500

You roll a tetrahedron (4 sided dice) labelled 1-4. You then roll a number cube (6 sided) labelled 1-6. Find the probability of rolling two numbers whose difference is 0 or 1.

11/24 = .4583 = 45.83% = 46% rounded

Odds in Favor

100

Find the odds in favour of getting a number greater than 1 when a number cube labelled 1 to 6 is rolled

5/1

200

Find the odds in favour of getting a 2 when a card is randomly picked from a deck of playing cards.

4/48 = 1/12

300

Find the odds in favour of getting a black card when a card is randomly picked from a deck of playing cards.

26/26 = 1/1

400

Find the odds in favour of getting the sum 5 when two number cubes labelled 1 to 6 are rolled and the numbers are added.

4/32= 1/8

500

Find the odds in favour of getting the sum 7 when two number cubes labelled 1 to 6are rolled and the numbers are added.

6/30 = 1/5

Odds Against

100

Odds against getting a number less than 3 when a number cube labelled 1 to 6 is rolled

4/2 = 2/1

200

Find the odds against pulling a card that is 5 or less, including the ace, from a deck of cards.

32/20 = 8/5

300

Find the odds against pulling a face card from a deck of cards.

40/12 = 10/3

400

Find the odds against getting the same result 3 times in a row when flipping a coin 3 times.

6/2 = 3/1

500

Find the odds against the sum being a prime number when you roll two dice and add the results together.

23/13 

Odds to Probabilities

100

If the odds of an event to occur are 1/5 what is the probability that this event will occur?

What is 1/6

200

If the odds of an event to occur are 9/11 what is the probability that this event will occur?

What is 9/20

300

If the odds of an event to occur are 1/5 what is the probability that this event will not occur?

What is 5/6

400

If the odds of an event to occur are 9/11 what is the probability that this event will not occur?

What is 11/20

500

The probability that Mr. Blackey will shave his beard is 45%. What are the odds in favour of him shaving his beard?

45/55 = 9/11