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You flip a coin and draw a marble at random from a bag containing two blue marbles and two green marbles. Find the number of possible outcomes in the sample space.The number of possible outcomes in the sample space is .Question 2List the possible outcomes.

Question

You flip a coin and draw a marble at random from a bag containing two blue marbles and two green marbles. Find the number of possible outcomes in the sample space.The number of possible outcomes in the sample space is .Question 2List the possible outcomes.

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Solution

Question 1:

Step 1: Identify the number of outcomes for each event.

  • For flipping a coin, there are 2 possible outcomes: heads (H) or tails (T).
  • For drawing a marble from a bag containing two blue marbles and two green marbles, there are 2 possible outcomes: blue (B) or green (G).

Step 2: Multiply the number of outcomes for each event to find the total number of outcomes in the sample space.

  • The number of possible outcomes in the sample space is 2 (for the coin) * 2 (for the marble) = 4.

Question 2:

Step 1: List the possible outcomes for each event.

  • For flipping a coin, the possible outcomes are: heads (H) or tails (T).
  • For drawing a marble, the possible outcomes are: blue (B) or green (G).

Step 2: Combine the outcomes for each event to list the possible outcomes in the sample space.

  • The possible outcomes in the sample space are: (H, B), (H, G), (T, B), (T, G).

This problem has been solved

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