Notfr00dle
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

So, the probability of getting two yellows is 1/3

Do you agree or disagree? Explain your thinking.

Ari Said There Are Three Possible Outcomes When You Spin This Spinner Twice Two Reds A Yellow And A Red Or Two Yellows So The Probability Of Getting Two Yellows class=

Sagot :

maxolispencer

Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

semsee45

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore,

[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]

[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]

Multiplication Rule for Independent Events

For independent events A and B:

  • [tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]

Conclusion

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.