Rayoni pulled cards from a standard deck. She picked a card, recorded the suit, and put it back. She repeated the process many times. She picked diamonds 12 times, clubs 7 times, hearts 8 times, and spades 13 times. Predict how many diamonds she would pick if she drew 170 cards.

3 answers

To predict how many diamonds Rayoni would pick if she drew 170 cards, we can use the ratio of the number of times she picked diamonds to the total number of cards she drew:

Probability of picking a diamond = Number of times she picked diamonds / Total number of cards she drew

= 12 / (12 + 7 + 8 + 13)

= 12 / 40

= 0.3

Therefore, if she drew 170 cards, we can predict that she would pick approximately:

0.3 * 170 = 51 diamonds

So, it is predicted that she would pick 51 diamonds if she drew 170 cards.
are you sure?
Let's adjust the calculation.

If Rayoni picked diamonds 12 out of 40 times in the initial set of cards she drew, we can assume that the same proportion will hold true for a larger number of cards.

12 diamonds / 40 total cards = 0.3, which means that she picks diamonds 30% of the time.

If she draws 170 cards, we can expect her to pick approximately 30% of them as diamonds:

170 cards * 0.3 = 51 diamonds

Therefore, if she drew 170 cards, it is predicted that she would pick approximately 51 diamonds.