Question

Martha has a deck of cards. She has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. Martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. Which activity would best allow Martha to test her prediction? A. Randomly draw a card from the box and see if it is a club. B. Randomly draw a card. Then, continue to draw another card until all eight clubs are drawn. C. Randomly draw and replace a card 120 times. Then, observe how close to 30 times a club is drawn. D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.

Answer 1

Answer:

D. Randomly draw and replace a card 100 times. Then, observe how close to 20 times a club is drawn.  

Step-by-step explanation:

We are given that,

Martha predicts that 'whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time'.

Now, according to the options, we see that,

If she randomly draw and replace a card 100 times and then observe how close to 20 times a club is drawn.

Her prediction is most likely to be true.

As, 20 out of 100 times is $\frac{1}{5}$ th of the total time.

Hence, option D is correct.