## horsegal244 one year ago A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials?

1. horsegal244

@Michele_Laino @hartnn

2. Michele_Laino

the experimental frequency to get a green marble is: 25/40= 5/8 so the requested number is: $\Large \frac{5}{8} \cdot 400 = ...?$

3. horsegal244

640?

4. Michele_Laino

hint: $\Large \frac{5}{8} \cdot 400 = \frac{{5 \cdot 400}}{8} = ...?$

5. horsegal244

$\frac{ 2000 }{ 8 }$= 25

6. Michele_Laino

more precisely it is 250

7. horsegal244

ok

8. horsegal244

Can u help me with 3 more?

9. Michele_Laino

yes!

10. horsegal244

11. Michele_Laino

here the experimental probability, is given by the subsequent ration: favorable outcomes/total outcomes: $\Large \frac{{272}}{{600}} = ...?$

12. Michele_Laino

ratio*

13. horsegal244

2.205

14. Michele_Laino

whereas the theoretical probability is: favorable outcomes (= 3, since there are three odd numbers) / possible outcomes(=6, since there are six possible outcomes): $\Large \frac{3}{6} = ...?$

15. horsegal244

2?

16. horsegal244

ohhh 1/2 duhhhh

17. Michele_Laino

we have: 272/600=0.453 and 3/6=0.5 so what can you conclude?

18. horsegal244

soit is not likely

19. Michele_Laino

we can see that experimental probability is less than the relative frequency

20. horsegal244

ok Next one ill start a new page...

21. Michele_Laino

ok!