Question

Ellen claims she has a coin that is weighted so that the probability of heads is 70%.

Answer 1

Outcome Heads Tails
Relative Frequency 0.69 0.31

so first statement is false as 69% is close to 70%.

second statement is false as heads probability is close to 70%

last 2 statements are true:

The theoretical probability of tails is most likely 30%.

It is likely that the coin is not fair.

Answer 2

Answer:

• The theoretical probability of tails is most likely 30%.

• It is likely that the coin is not fair.

Step-by-step explanation:

The table that represents the  relative frequency of number of head and tails that are obtained on flipping the coin 100 times is:

Outcome               Heads Tails

Relative Frequency 0.69  0.31

Ellen claims she has a coin that is weighted so that the probability of heads is 70%.

Hence, clearly from the table we could see that :

The theoretical probability of tail is 30%.

( Since relative frequency is 0.31 which leads to number of tails as 31 times out of 100 and hence percentage is 31% which is approximately equal to 30%).

Also, it is likely that the coin is not fair.

( Since the coin is turning up to give heads most of the time as compared to tails.

Hence, from the relative frequency we could see that the coin is unfair)