Math

Question Find the probability that a coin lands showing heads.

Studdy Solution

STEP 1

Assumptions1. The coin is fair, meaning it has an equal chance of landing on heads or tails. . The standard number cube (also known as a die) is fair, meaning it has an equal chance of landing on any of its six faces.
3. The events A and B are independent, meaning the outcome of one does not affect the outcome of the other.

STEP 2

The probability of an event is defined as the number of ways that event can occur divided by the total number of outcomes. For a fair coin, there are2 possible outcomes heads or tails. Thus, the probability of the coin landing on heads (event A) can be calculated as follows(A)=NumberofwaysAcanoccurTotalnumberofoutcomes(A) = \frac{Number\, of\, ways\, A\, can\, occur}{Total\, number\, of\, outcomes}

STEP 3

Plug in the values for the number of ways event A can occur (1, since the coin can only land on heads in one way) and the total number of outcomes (2, since the coin can land on either heads or tails).
(A)=12(A) = \frac{1}{2}So, the probability that the coin lands showing heads is0.5 or50%.

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