Author: poundek02

Complementary
Exhaustive

Probability
Mutually Exclusive
Expected Frequency

Find 5 jobs where you would calculate probabilities or risk.

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue	Pink
Probability	0.5	x	0.22	x

	Red	Green	Blue	Pink
Probability	0.4	0.3	2x	x

	Red	Green	Blue
Probability	15x	3x	2x

Find x.
If I spin the spinner 120 times, how many times would you expect it to land on Green or Blue?

Find x.
If I spin the spinner 80 times, how many times would you expect it to land on Blue?

Find x.
If I spin the spinner 80 times, how many times would you expect it to land on Green or Blue?

Draw out a table for each problem. Find the missing probabilities. Answer the questions below each table

Mary plays a game of throwing a ball at a target. In the game, you can score 0, 1 or 2. The probability that she scores 0 is 0.4. She is twice as likely to score 1 as 2. What is the probability she does not score 2?
There are only red counters, yellow counters, blue counters and green counters in a bag. They are in the ratio 1:2:3:4. Find the probability of picking each colour from the bag.
There are only blue, green and red counters in a bag. There are twice as many green counters as red counters. There are twice as many blue counters as green counters. What is the probability of not picking a red counter?
A bag contains some 50p coins, £1 coins and 1p coins. There are 5 more 50p coins than £1 coins. There are twice as many 1p coins as £1 coins. There are 25 coins in the bag altogether. Find the probability of picking out each coin from the bag.
A dice is biased so that it lands on 1 one quarter of the time. It lands on 3 twice as often as it land on 2 and three times as often as it lands on 4. It lands on 5 ten percent more often than it lands on 4 and ten percent less often than it lands on 6. If I roll the dice 350 times, how often should I expect to roll a 6?

Complete the sentences below

Mutually Exclusive events are things that _____________ happen at the same time
Events are Exhaustive if ________________________________ ___________________________________________________________
The probabilities of events that are Mutually Exclusive AND exhaustive always add up to __________.
Expected frequency = ______________ x _______________

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue	Pink
Probability	0.5	0.01	0.22

What is the probability that the spinner will land on Red or Blue?

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue
Probability	0.5	0.3

If I spin this spinner 30 times, how many times would you expect it to land on blue?

	Red	Green	Blue	Orange
Probability		0.25	0.05	0.3

	Red	Green	Blue
Probability		0.25	0.05

What is the probability that this spinner will not land on Red?

	Dog	Cat	Fish	Bird
Probability	1/5	1/20	3/10

If I spin this spinner 80 times, how many times would you expect it to land on red?

	Dog	Cat	Fish
Probability	¼	½

What is the probability that a student chosen at random prefers Fish or Birds?

I select 100 students at random. For how many students would you expect their favourite pet to be dog?

Complementary
Exhaustive

Probability
Mutually Exclusive
Expected Frequency

Find 5 jobs where you would calculate probabilities or risk.

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue	Pink
Probability	0.5	x	0.22	x

	Red	Green	Blue	Pink
Probability	0.4	0.3	2x	x

	Red	Green	Blue
Probability	15x	3x	2x

Find x. x=0.14
If I spin the spinner 120 times, how many times would you expect it to land on Green or Blue? 0.36x120=43.2

Find x. x=0.1
If I spin the spinner 80 times, how many times would you expect it to land on Blue? 0.2x80=16

Find x. x=0.05
If I spin the spinner 80 times, how many times would you expect it to land on Green or Blue? 0.25x80=20

Draw out a table for each problem. Find the missing probabilities. Answer the questions below each table

Mary plays a game of throwing a ball at a target. In the game, you can score 0, 1 or 2. The probability that she scores 0 is 0.4. She is twice as likely to score 1 as 2. What is the probability she does not score 2? 0=0.4 1=0.4 2=0.2 p(not 2) = 1-0.2 = 0.8
There are only red counters, yellow counters, blue counters and green counters in a bag. They are in the ratio 1:2:3:4. Find the probability of picking each colour from the bag. Red=0.1 Yellow=0.2 Blue=0.3 Green=0.4
There are only blue, green and red counters in a bag. There are twice as many green counters as red counters. There are twice as many blue counters as green counters. What is the probability of not picking a red counter? Blue=4/7 Green=2/7 Red=1/7 p(not red)=1-1/7=6/7
A bag contains some 50p coins, £1 coins and 1p coins. There are 5 more 50p coins than £1 coins. There are twice as many 1p coins as £1 coins. There are 25 coins in the bag altogether. Find the probability of picking out each coin from the bag. 1p=0.4 50p=0.4 £1=0.2
A dice is biased so that it lands on 1 one quarter of the time. It lands on 3 twice as often as it land on 2 and three times as often as it lands on 4. It lands on 5 ten percent more often than it lands on 4 and ten percent less often than it lands on 6. If I roll the dice 350 times, how often should I expect to roll a 6? 1=0.25 2=0.09 3=0.18 4=0.06 5=0.16 6=0.26 0.26x350=91

Complete the sentences below

Mutually Exclusive events are things that _cannot_ happen at the same time
Events are Exhaustive if they include all the possible outcomes_________
The probabilities of events that are Mutually Exclusive AND exhaustive always add up to _1_____.
Expected frequency = probability x number of trials

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue	Pink
Probability	0.5	0.01	0.22	0.27

What is the probability that the spinner will land on Red or Blue?
0.5+0.22=0.72

Find the missing probabilities. Answer the questions below each table

	Red	Green	Blue
Probability	0.5	0.3	0.2

If I spin this spinner 30 times, how many times would you expect it to land on blue?
0.2x30=6

	Red	Green	Blue	Orange
Probability	0.4	0.25	0.05	0.3

	Red	Green	Blue
Probability	0.7	0.25	0.05

What is the probability that this spinner will not land on Red?
1-0.4=0.6

	Dog	Cat	Fish	Bird
Probability	1/5	1/20	3/10	9/20

If I spin this spinner 80 times, how many times would you expect it to land on red?
0.7x80=56

	Dog	Cat	Fish
Probability	¼	½	½

What is the probability that a student chosen at random prefers Fish or Birds?
3/10+9/20=15/20=3/4

I select 100 students at random. For how many students would you expect their favourite pet to be dog? ¼x100=25