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If you pick a card from a suttled stund and deck what is the probability of picking an Ace or a club? 3) If you vell a pair of dice, what is the perisability of hing a sum ge hij wee hand is 7 to 3 TAN

Answer :

Solution

A standard deck of cards has 4 suits: Hearts, Clubs, Spades, and Diamonds

Each suite contains an ace, 2, 3, 4,5,6,7,8,9,10, jack, queen, and king, a total of 13 cards

Therefore a standard pack of cards has 4 x13 cards = 52 cards/elements

An expression for probability is

[tex]P(A)\text{ = }\frac{No\text{ of required events}}{No\text{ of total possible events}}[/tex]

The question requires us to find the probability of picking an Ace or a Club

No of Aces = 4 across all the suits

No of Clubs = 4 across all suits

Total number of cards = 52

[tex]\begin{gathered} \text{Probability of Aces = }\frac{4}{52} \\ \text{Probability of Clubs =}\frac{4}{52} \end{gathered}[/tex]

The probability of picking an Ace or a Club is

[tex]\frac{4}{52}+\frac{4}{52}=\frac{8}{52}=\frac{2}{13}[/tex]

Answer = 2/13

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