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Wanda asks you to pick ONE card. What is the probability that you would pick a 7 or a diamond?

Wanda Asks You To Pick ONE Card What Is The Probability That You Would Pick A 7 Or A Diamond class=

Sagot :

Solution:

Given:

From the deck of cards given,

[tex]\begin{gathered} number\text{ of 7}=4 \\ number\text{ of diamonds}=13 \\ number\text{ of 7 and diamond}=1 \\ Total\text{ number of cards}=52 \end{gathered}[/tex]

Hence, the probability of picking a 7 or a diamond would be;

[tex]\begin{gathered} P(7\text{ or diamond\rparen}=P(7)+P(diamond)-P(7\text{ and diamond\rparen} \\ P(7\text{ or diamond\rparen}=\frac{4}{52}+\frac{13}{52}-\frac{1}{52} \\ P(7\text{ or diamond\rparen}=\frac{4+13-1}{52} \\ P(7\text{ or diamond\rparen}=\frac{16}{52} \\ P(7\text{ or diamond\rparen}=\frac{4}{13} \end{gathered}[/tex]

Therefore, the probability of pickng a 7 or a diamond is;

[tex]\frac{4}{13}[/tex]

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