Pregunta
6:34PM Thu Jan 23
In Emilio Mejia Felici… AA. 12 Independence and conditional probability
If
and
are independent events, what is the probability that
and
both occur?
Simplify any fractions.
In Emilio Mejia Felici… AA. 12 Independence and conditional probability
If
Simplify any fractions.
Ask by Chandler Norton. in Puerto Rico
Jan 23,2025
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The probability that both
and
occur is
.
Solución

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Beyond the Answer
When two events
and
are independent, the probability of both events occurring is calculated by multiplying their individual probabilities. So, if the probability of event
occurring is
and the probability of event
occurring is
, then the probability of both events occurring is given by
.
For instance, if
and
, the combined probability is
. So, the answer you would put in the box is
after simplification.
Understanding independent events can be quite fun! In real-world examples, consider flipping a coin and rolling a die. The coin landing heads (event
) is independent of the die rolling a four (event
). This illustrates how events can happen without influencing each other, making probability calculations simpler and more intuitive!

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