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ACT Exam  >  ACT Questions  >  The sample space of four coins tossed togethe... Start Learning for Free
The sample space of four coins tossed together is:
  • a)
    8
  • b)
    64
  • c)
    32
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The sample space of four coins tossed together is:a)8b)64c)32d)16Corre...
Number of coins tossed = 4
∴ Sample space of four coins tossed = 24 = 16
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The sample space of four coins tossed together is:a)8b)64c)32d)16Corre...
The sample space of tossing four coins together can be determined by considering all the possible outcomes of the coin toss. Each coin has two possible outcomes, either heads (H) or tails (T). Since we are tossing four coins together, we need to consider all the possible combinations of these outcomes.

Explanation:
To find the sample space, we can use the concept of the multiplication principle. The multiplication principle states that if there are m ways of doing one thing and n ways of doing another thing, then there are m * n ways of doing both things together.

In this case, there are 2 ways (H or T) for the first coin, 2 ways for the second coin, 2 ways for the third coin, and 2 ways for the fourth coin. Therefore, by applying the multiplication principle, we can determine the total number of outcomes for tossing four coins together.

- First Coin: 2 possible outcomes (H or T)
- Second Coin: 2 possible outcomes (H or T)
- Third Coin: 2 possible outcomes (H or T)
- Fourth Coin: 2 possible outcomes (H or T)

Using the multiplication principle, the total number of outcomes is calculated as follows:

Total outcomes = 2 * 2 * 2 * 2 = 16

Therefore, the correct answer is option 'D', which states that the sample space of tossing four coins together is 16.
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The sample space of four coins tossed together is:a)8b)64c)32d)16Correct answer is option 'D'. Can you explain this answer?
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