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IG_U15.4.2_Y8

Total questions: 8

Worksheet time: 7mins

Name
Class
Date
1.

CB Q1: Alicia has a biased coin (it has been altered to land on one side more often). She wants to find the experimental probability of getting a head.

She spins the coin 10 times. She gets 6 heads and 4 tails.


What is the experimental probability of getting a head based on these 10 throws?

Give your answer as a decimal.

(a)  

2.

Alicia has a biased coin (it has been altered to land on one side more often). She wants to find the experimental probability of getting a head.

She spins the coin 10 times. She gets 6 heads and 4 tails.


Is this a reliable estimate of the probability?

a)

Yes, because it is near to 0.5

b)

No, because it is not 0.5

c)

Yes, because 10 throws is enough to achieve reliable estimate

d)

No, because 10 times is not enough of throws.

3.

Alicia has a biased coin (it has been altered to land on one side more often). She wants to find the experimental probability of getting a head.

She spins the coin 10 times. She gets 6 heads and 4 tails.

She spins the coin another 10 times. This time she gets 3 heads and 7 tails.


Find the experimental probability of getting a head based on the 20 throws so far.

Give your answer as a decimal.

Round up to 2 decimal points.

(a)  

4.

Alicia has a biased coin (it has been altered to land on one side more often). She wants to find the experimental probability of getting a head.


She spins the coin 10 times. She gets 6 heads and 4 tails.

She spins the coin another 10 times and gets 3 heads and 7 tails.

She spins the coin another 30 times and gets 9 heads and 21 tails.


Find the experimental probability of getting a head based on all the throws so far.


Give your answer as a decimal.

Round up to 2 decimal points.

(a)  

5.

Alicia has a biased coin (it has been altered to land on one side more often). She wants to find the experimental probability of getting a head.


She spins the coin 10 times. She gets 6 heads and 4 tails.

She spins the coin another 10 times and gets 3 heads and 7 tails.

She spins the coin another 30 times and gets 9 heads and 21 tails.

Another 50 throws give 19 heads and 31 tails.


Find the experimental probability of getting a head based on all the throws so far.


Give your answer as a decimal.

Round up to 2 decimal points.

(a)  

6.

Alicia has a biased coin (it has been altered to land on one side more often). She found the below Experimental Probabilities (EP) based on different sets of throws.


EP of 10 throws = 0.6

EP of 20 throws = 0.45

EP of 50 throws = 0.36

EP of 100 throws = 0.37


Explain why 100 throws is the most reliable estimate of the probability of getting a head?

a)

Because the more throws the merrier

b)

Because 0.37 is a nice number

c)

Because it covers the largest number of throws in this event.

7.

Alicia has a biased coin (it has been altered to land on one side more often). After getting the Experimental Probabilities (EP) of getting a head based on different sets of throws below,


EP of 10 throws = 0.6

EP of 20 throws = 0.45

EP of 50 throws = 0.36

EP of 100 throws = 0.37


This biased coin is altered to land on which side?

a)

Head

b)

Tail

c)

Stand straight

8.

Alicia has a biased coin (it has been altered to land on one side more often). After getting the Experimental Probabilities (EP) of getting a head based on different sets of throws below,


EP of 10 throws = 0.6

EP of 20 throws = 0.45

EP of 50 throws = 0.36

EP of 100 throws = 0.37


What concludes the 'biased' coin is really a bias one?

a)

Because it is labelled as bias

b)

Because after enough throws, the EP is still far away from TP

c)

Because after 100 throws, the EP is still far away from 0.5 (TP)