Answered

IDNLearn.com is your go-to resource for finding expert answers and community support. Join our knowledgeable community to find the answers you need for any topic or issue.

You spin the spinner twice.678What is the probability of landing on an odd number and then landing on a 6?Simplify your answer and write it as a fraction or whole number.

You Spin The Spinner Twice678What Is The Probability Of Landing On An Odd Number And Then Landing On A 6Simplify Your Answer And Write It As A Fraction Or Whole class=

Sagot :

We are asked to determine the probability of landing on an odd number and then landing on a 6.

To do that we will use the product rule of probabilities:

[tex]P(AandB)=P(A)P(B)[/tex]

Where:

[tex]\begin{gathered} A=\text{ landing on an odd number} \\ B=\text{ landing on a 6} \end{gathered}[/tex]

To determine the value of the probability of A we need to have into account that there is only 1 odd number (7) out of 3 possible numbers, therefore, the probability is:

[tex]P(A)=\frac{1}{3}[/tex]

Now, to determine the value of the probability of "B" we need to have into account that there is only one number 6 out of 3 numbers therefore, we have:

[tex]P(B)=\frac{1}{3}[/tex]

Now, we substitute the values:

[tex]P(AandB)=(\frac{1}{3})(\frac{1}{3})[/tex]

Now, we solve the operations:

[tex]P(AandB)=\frac{1}{9}[/tex]

Therefore, the probability is 1/9

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.