A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

$\large\boxed{\large\boxed{Probability=1/256\approx 0.0039}}$

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for a coin tossed 8 times is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

Landing on heads all 8 times is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the probability is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

$Probability=1/256\approx 0.0039\text{ }\leftarrow answer$

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