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Popular Word Problems >

Calculate the probability of a card that was a heart or spade

Solution

C a l c u l a t e t h e p ro babi l i t y o f a c a r d t ha t w a s a h e a r t or s p a d e

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

Find the probability of a card that was a heart:

\frac{1}{4}

Find the probability of spade:

\frac{1}{4}

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}{4} + \frac{1}{4}

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

= \frac{1}{2}

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