Home
Class 11
MATHS
When a coin is tossed three times, the n...

When a coin is tossed three times, the number of possible outcomes is:

A

3

B

6

C

8

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of possible outcomes when a coin is tossed three times, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the outcomes for a single toss**: When a coin is tossed once, there are 2 possible outcomes: Heads (H) or Tails (T). 2. **Determine the outcomes for multiple tosses**: Since each toss is independent, the total number of outcomes when tossing the coin multiple times can be calculated using the formula: \[ \text{Total Outcomes} = (\text{Number of outcomes for one toss})^{\text{Number of tosses}} \] In this case, the number of outcomes for one toss is 2 (H or T), and the number of tosses is 3. 3. **Calculate the total outcomes**: Substituting the values into the formula: \[ \text{Total Outcomes} = 2^3 = 8 \] 4. **List the possible outcomes**: The possible outcomes when the coin is tossed three times are: - HHH - HHT - HTH - HTT - THH - THT - TTH - TTT 5. **Conclusion**: Therefore, the total number of possible outcomes when a coin is tossed three times is 8. ### Final Answer: The number of possible outcomes is **8**. ---
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS- FILL IN THE BLANKS|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS- TRUE OR FALSE|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE 16 (D ) SHORT ANSWER TYPE QUESTIONS -I SATQ|6 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

Similar Questions

Explore conceptually related problems

When a coin is tossed two times, the number of possible outcomes is:

The coin is tossed three times.

A dice is tossed two times. The number of possible outcomes is

If coin is tossed twice, then the number of possible outcomes is ...............

If a die is cast and then a coin is tossed, find the number of all possible outcomes.

If a coin is tossed three times, find the sample space.

Assertion : Two coins are tossed. Number of elements in the sample space is 4. Reason : When a coin is tossed n times then the number of elements in its sample space is n + 2.

If a coin is tossed 10 times, then number of outcomes in which there are at least five consecutive heads is

True or False When a coin is tossed, there are 2 possible outcomes.