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Find the number of possible outcomes of tossing a coin four times.

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To find the number of possible outcomes of tossing a coin four times, we can follow these steps: ### Step 1: Understand the Problem When a coin is tossed, there are two possible outcomes: Heads (H) or Tails (T). **Hint:** Remember that each toss is independent of the others. ### Step 2: Determine the Number of Tosses In this problem, we are tossing the coin 4 times. **Hint:** Identify how many times the experiment (coin toss) is being conducted. ### Step 3: Calculate the Total Outcomes The formula to find the total number of outcomes when a coin is tossed \( n \) times is given by: \[ \text{Total Outcomes} = 2^n \] where \( n \) is the number of tosses. **Hint:** Think about how each toss doubles the number of outcomes. ### Step 4: Substitute the Value of \( n \) Here, \( n = 4 \). So we substitute this value into the formula: \[ \text{Total Outcomes} = 2^4 \] **Hint:** Perform the exponentiation step carefully. ### Step 5: Calculate \( 2^4 \) Calculating \( 2^4 \): \[ 2^4 = 16 \] **Hint:** Remember that \( 2^4 \) means multiplying 2 by itself 4 times. ### Conclusion Thus, the total number of possible outcomes when tossing a coin four times is **16**. **Final Answer:** 16 ---

To find the number of possible outcomes of tossing a coin four times, we can follow these steps: ### Step 1: Understand the Problem When a coin is tossed, there are two possible outcomes: Heads (H) or Tails (T). **Hint:** Remember that each toss is independent of the others. ### Step 2: Determine the Number of Tosses ...
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NAGEEN PRAKASHAN ENGLISH-PROBABILITY-NCERT QUESTIONS
  1. Describe the sample space for the indicated experiment : A coin is...

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  2. A dice is thrown two times.describe sample space

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  3. Find the number of possible outcomes of tossing a coin four times.

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  4. Describe the sample space for the indicated experiment : A coin is...

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  5. A coin is tossed and then a die is rolled only in case a head is shown...

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  6. 2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. w...

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  7. Describe the sample space for the indicated experiment : One die o...

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  8. An experiment consists of boy girl composition of families with 2 c...

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  9. A box contains 1 red and 3 identical white balls. Two balls are dra...

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  10. An experiment consists of tossing a com and then throwing it second ...

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  11. Suppose 3 bulbs are selected at random from a lot. Each bulb is tes...

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  12. A com is tossed. If the outcome is a head, a die is thrown. If the ...

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  13. The numbers 1, 2, 3 and 4 are written separately on four slips of p...

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  14. An experiment consists of rolling a die and then tossing a coin onc...

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  15. A com is tossed. If it shows a tail, we draw a ball from a box whic...

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  16. A die is thrown repeatedly untill a six comes up. What is the sampl...

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  17. A die is rolled. Let E be the event die shows 4 and F be the event ...

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  18. A die is thrown. Describe the following events: (i) A : a number less...

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  19. An experiment involves rolling a pair of dice and recording the num...

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  20. Three coins are tossed once. Let A denote the event "three heads sn...

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