Question:
The probability of drawing a card which is at least a spade or a king from a well shuffled pack of cards is
The probability of drawing a card which is at least a spade or a king from a well shuffled pack of cards is
Updated On: Jul 7, 2022
- $\frac{3}{13}$
- $\frac{5}{13}$
- $\frac{4}{13}$
- $\frac{2}{13}$
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The Correct Option is C
Solution and Explanation
$P\left(A\cup K\right) = \frac{13}{52} + \frac{4}{52}-\frac{1}{52}=\frac{16}{52} = \frac{4}{13} $
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Notes on Multiplication Theorem on Probability
Concepts Used:
Multiplication Theorem on Probability
In accordance with the multiplication rule of probability, the probability of happening of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A happens given that event B occurs.
Let's assume, If A and B are dependent events, then the probability of both events occurring at the same time is given by:
\(P(A\cap B) = P(B).P(A|B)\)
Let's assume, If A and B are two independent events in an experiment, then the probability of both events occurring at the same time is given by:
\(P(A \cap B) = P(A).P(B)\)
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