Question

A coin is flipped 20 times. The results are 12 heads and 8 tails. The theoretical probability of getting heads is 60%.

True or False?

Answer 1

✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧

✅ FALSE

✧･ﾟ: *✧･ﾟ:* Explanation: *:･ﾟ✧*:･ﾟ✧

❗ This is Experimental Probability: 12 Heads out of 20 Tosses.

12/20 reduces to 6/10, 0.60, and 60%.

The answer to this question is FALSE, because this is NOT Theoretical Probability.

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~

Answer 2

False

Explanation:

Given experiment:

A coin is flipped 20 times.

The results are 12 heads and 8 tails.

Statement: The theoretical probability of getting heads is 60%.

To tell true or false.

Solution:

For the given experiment the results is 12 heads and 8 tails for a coin flipped 20 times.

The experimental probability of getting head can be given as:

⇒
`(12)/(20)* 100`

⇒
`0.6* 100`

⇒
`60%`

while the theoretical probability of getting heads can be given as:

⇒
`0.5* 100` [Since probability getting heads on one flip is 0.5]

⇒
`50%`

Thus, the statement is false.