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solve and show solution : If a card is selected at random standard deck of card, what is the probability that the card drawn is red card or face card

Solution

solve and show solution : If a card is selected at random standard deck of card, what is the probability that the card drawn is red card or face card

Solution

\frac{1}{2}

Solution steps

Find the probability of the card drawn is red card:

\frac{1}{2}

Find the probability of face card:

0

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{2} + 0

Apply rule:

a + 0 = a

= \frac{1}{2}

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