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A three section spinner shown, the three diagram shows the possible outcomes for the town spins.What is the probability of spinning the same number in both spins?

A three section spinner shown the three diagram shows the possible outcomes for the town spinsWhat is the probability of spinning the same number in both spins class=

Respuesta :

MrRoyal

Answer:

[tex]Pr = \frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex] --- total outcomes

Required

The probability of same number in both spins

The list of same outcomes are:

[tex]L = \{(1,1),(2,2),(3,3)\}[/tex]

[tex]n(L) = 3[/tex] ----- The number of outcomes

So, the probability is:

[tex]Pr = \frac{n(L)}{n}[/tex]

[tex]Pr = \frac{3}{9}[/tex]

[tex]Pr = \frac{1}{3}[/tex]

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