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A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.

What is the relative frequency of selecting a diamond?


Outcome Club Diamond Heart Spade
Number of trials 8 12 11 9


A.
23%

B.
25%

C.
30%

D.
42%
A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 50 trials.

What was the relative frequency of selecting a red marble? Round to the nearest percent, if necessary.

Outcome Red Green Blue
Number of trials 10 24 16


A spinner has five sections, labeled A, B, C, D, and E. The spinner is spun 84 times, and the results are recorded in the table.

What is the experimental probability of the spinner’s landing on A? Round to the nearest percent, if necessary.

Outcome A B C D E
Number of trials 14 20 18 15 17


A.
22%

B.
20%

C.
17%

D.
14%.
A jar holds 42 yellow and 14 purple crayons. A crayon is pulled out of the jar at random and then placed back in the jar.

How many times can you expect that a purple crayon will be pulled out of the jar in 140 tries?

A.
14

B.
20

C.
35

D.
47
A bin contains yellow and black balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 150 trials. The results are recorded in the table.

Based on the table, how many times can you expect that a yellow ball will be selected in 300 tries?



Outcome Number of trials
10 50 150
Yellow 9 32 135
Black 1 18 15



Sagot :

Relative Frequency is how often something happened divided by the number of situations when it could have happened (trials). So in our examples we divide the numer of outcomes by trials:

first question is C: 30% (12/40=0,3)

The second question is 20% (10/50)

 The third one is 16.66666,  that's 17 % (14/84)

In the forth one, the purple crayons form 14/(14+42)=14/56=2/8=1/4, that's 25 %
So the purple crayons are 25 % of the total. SO in 140 trials, they should be pulled out 140*25%=140*1/4=35 times.

In the last one: after 10 trials it seemed that yellow balls were 90%. After 50 (which is a better measure yello balls seem to be 32/50=64%. After 150 trials it was 90 % again/.

I think this makes it likely that in 300 trials the balls will be taken 90% of times, that is 270 times.
A. 30%
B. 20%
C. 17%

I only know these