Question Video: Determining the Probability of Complement of a Given Event

The probability of getting a head when flipping a biased coin is 0.56. What is the probability of getting tails when flipping the coin?

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Video Transcript

The probability of getting a head when flipping a biased coin is 0.56. What is the probability of getting tails when flipping the coin?

In this question, we’re dealing with a biased coin. Normally the probability of getting heads or tails with a fair coin would be 0.5. But in this, question the probability of getting a head is 0.56. We’re interested in calculating the probability of getting tails.

Heads and tails on a coin are what referred to as complementary events. The outcome of getting tails is equivalent to the outcome of not getting heads. Therefore the probabilities of the complementary events tails and heads must sum to one.

The probability of getting tails on this biased coin can be found by subtracting the probability of getting heads from one. It’s one minus 0.56, therefore the probability of getting tails on a flip of this coin is 0.44.

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