Ming has a standard 52-card deck. A standard 52-card deck has 4 suits (♠, ♣,♦, and ♥))right parenthesis and an equal number of cards of each suit. She is going to randomly draw a card from the deck 300 times, putting the card back in the deck after each draw.

Respuesta :

She will always have a 25% chance of drawing a specific suit, a 50% for a specific color, a 7.69230769% chance for a specific number or letter, and a 1.92307692% chance of getting a specific card.

Answer with explanation:

Number of cards in the deck = 52=13 club + 13 Heart +13 Diamond +13 Spade

Probability of drawing a Club Card,or a Heart,or a Diamond or a Spade ,from a pack of 52 Cards

      [tex]=\frac{_{1}^{13}\textrm{C}}{_{1}^{52}\textrm{C}}=\frac{13}{52}\\\\=\frac{1}{4}[/tex]

So, Percentage of Drawing a Club Card,or a Heart,or a Diamond or a Spade ,from a pack of 52 Cards

             [tex]=\frac{1}{4}\times 100=25[/tex]

        = 25 %

Probability of drawing, a Red Card or a Black Card from the deck of 52 cards

           [tex]=\frac{_{1}^{26}\textrm{C}}{_{1}^{52}\textrm{C}}=\frac{26}{52}\\\\=\frac{1}{2}[/tex]

So, Percentage of Drawing,a Red Card or a Black Card from the deck of 52 cards

           [tex]=\frac{1}{2}\times 100=50[/tex]

      = 50 %

Now, probability of drawing a card from the deck of 52 cards ,300 times with replacement

              [tex]=\frac{1}{52}\times \frac{1}{52}\times \frac{1}{52}\times \frac{1}{52}\times ......300 times\\\\=[\frac{1}{52}]^{300}[/tex]