3) Mr. Beast is conducting a coin game that whoever the first to flip a coin 7 times in a row and lands heads up every time wins PHP100,000.00. If a coin lands heads up only 6 times out of 7 flips, contestant will win PHP10,000.00. A) What is the probability that a contestant wins PHP100,000.00?
Question
- Mr. Beast is conducting a coin game that whoever the first to flip a coin 7 times in a row and lands heads up every time wins PHP100,000.00. If a coin lands heads up only 6 times out of 7 flips, contestant will win PHP10,000.00. A) What is the probability that a contestant wins PHP100,000.00?
Solution
The probability of a specific outcome in a coin flip is 1/2, because there are two possible outcomes: heads or tails.
To find the probability of getting heads 7 times in a row, you would multiply the probability of getting heads once by itself 7 times. This is because each coin flip is an independent event, meaning the outcome of one flip does not affect the outcome of any other flip.
So, the calculation would be (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = (1/2)^7 = 1/128.
Therefore, the probability that a contestant wins PHP100,000.00 by flipping heads 7 times in a row is 1 in 128, or approximately 0.0078 or 0.78%.
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