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The probabilities of winning some different games are shown below. Order the games from the smallest probability of winning to the largest probability of winning.

- Rocket game: 42%
- Alien game: 11/25
- Moon game: 0.05
- Planet game: 20/50

Answer :

To order the games from the smallest probability of winning to the largest probability of winning, we first need to convert all the given probabilities into the same form, preferably as decimals.

  1. Rocket game: The probability is given as 42%, which is equivalent to 0.42 when converted to a decimal.

  2. Alien game: The probability is given as [tex]\frac{11}{25}[/tex]. To convert this fraction to a decimal, we divide the numerator by the denominator: [tex]\frac{11}{25} = 0.44[/tex].

  3. Moon game: The probability is already given as a decimal: 0.05.

  4. Planet game: The probability is given as [tex]\frac{20}{50}[/tex]. When simplified, this fraction is [tex]\frac{2}{5}[/tex], which is equivalent to 0.4 as a decimal.

Now, compare the decimal values:

  • Rocket game: 0.42
  • Alien game: 0.44
  • Moon game: 0.05
  • Planet game: 0.4

Ordering them from the smallest to the largest probability, we get:

  1. Moon game (0.05)
  2. Planet game (0.4)
  3. Rocket game (0.42)
  4. Alien game (0.44)

So, the games ordered from the smallest probability of winning to the largest probability of winning are: Moon game, Planet game, Rocket game, and Alien game.

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