If a card is picked at random from a standard 52-card deck, what is the probability of getting a heart or a 8 of clubs? Give your answer as a fraction.

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27-10-2022
Mathematics

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If a card is picked at random from a standard 52-card deck, what is the probability of getting a heart or a 8 of clubs? Give your answer as a fraction.

$If a card is picked at random from a standard 52card deck what is the probability of getting a heart or a 8 of clubs Give your answer as a fraction class=$

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IdrisL374493 IdrisL374493 · Answer 1 · 2022-10-27T23:54:17+02:00

Given:

Number of hearts in deck of cards = 13

Number of 8 of clubs in a deck of cards = 1

Required: Probability of getting a heart or a 8 of clubs

Explanation:

Probability of getting a heart = 13/52

Probability of getting 8 of clubs = 1/52

Use the formula

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

Therefore,

[tex]\begin{gathered} P(\text{ a heart or a 8 of clubs\rparen = P\lparen a heart\rparen+P\lparen a 8 of clubs\rparen-P\lparen a heart and a 8 of club\rparen } \\ =\frac{13}{52}+\frac{1}{52}-0 \\ =\frac{14}{52} \\ =\frac{7}{26} \end{gathered}[/tex]

Final Answer: Probability of getting a heart or a 8 of clubs is 7/26.