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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

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