Question

Ming has a standard 52-card deck. A standard 52-card deck has 4 suits (♠, ♣,♦, and ♥) 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.
Complete the following statement with the best prediction.
Ming will draw something other than a ♥…
Please choose from one of the following options.

A.)Exactly 150 times
B.)Close to 150 times but probably not exactly 150 times
C.)Exactly 225 times
D.)Close to 225 times but probably not exactly 225 times

Answer 1

Answer:

Option D.

Step-by-step explanation:

Total number of cards = 52

Total number of cards of each suit (♠, ♣,♦, and ♥) = 13

The probability of getting a card of heart is

$\text{Probability of getting a card of heart}=\frac{\text{Number of heart cards}}{\text{Total number of cards}}$

$\text{Probability of getting a card of heart}=\frac{13}{52}$

$\text{Probability of getting a card of heart}=\frac{1}{4}$

The probability of getting a card other then heart is

$1-\frac{1}{4}=\frac{3}{4}$

If Ming randomly draw a card from the deck 300 times, putting the card back in the deck after each draw, then the number of cards she will draw something other than a heart is

$300\times \frac{3}{4}=225$

Close to 225 times but probably not exactly 225 times.

Therefore, the correct option is D.