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o begin, check that the Number of spinners is 1, Sections is 6, Number is 2, and thesign is chosen. In this game, a win (a favorable outcome) occurs if the spinner lands on 2.How likely do you think it is that a player will win the game? Explain

Question

o begin, check that the Number of spinners is 1, Sections is 6, Number is 2, and thesign is chosen. In this game, a win (a favorable outcome) occurs if the spinner lands on 2.How likely do you think it is that a player will win the game? Explain

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Solution

The spinner has 6 sections and only one of those sections results in a win (if it lands on 2). Therefore, the probability of winning is 1 out of 6.

Here's the step-by-step calculation:

  1. Identify the total number of outcomes. In this case, the spinner has 6 sections, so there are 6 possible outcomes.

  2. Identify the number of favorable outcomes. In this case, a win occurs if the spinner lands on 2. Since 2 is only one section of the spinner, there is only 1 favorable outcome.

  3. Calculate the probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. So, the probability of winning is 1 (favorable outcomes) divided by 6 (total outcomes), which equals approximately 0.167 or 16.7% when expressed as a percentage.

So, it's not very likely that a player will win the game - only a 16.7% chance.

This problem has been solved

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