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Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is a 2.
Complete the table to find the theoretical and experimental probabilities of winning, and compare the two.

Stacy uses a spinner with six equal sections numbered 2 2 3 4 5 and 6 to play a game Stacy spins the pointer 120 times and records the results The pointer lands class=

Respuesta :

Answer:

  • Theoretical probability of winning=33.3%
  • Experimental probability of winning=25%
  • The theoretical probability of winning is greater

Step-by-step explanation:

The six equal sections are numbered 2, 2, 3, 4, 5, and 6.

Number of Outcome of 2 on the Spinner=2

Total Number of Sections=6

Since a winning spin is a 2

The theoretical probability of winning[tex]=\frac{2}{6}=\frac{1}{3}[/tex]

In percentage[tex]=\frac{1}{3}X100=33.3\%[/tex]

In the experimental trial:

Total Number of Trials=120

Number of Outcome of 2=30

Therefore, the experimental probability of winning[tex]=\frac{30}{120}=\frac{1}{4}[/tex]

In percentage[tex]=\frac{1}{4}X100=25\%[/tex]

Since 33.3%>25%, the theoretical probability of winning is greater.

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