Advertisement Remove all ads Advertisement Remove all ads A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there? Advertisement Remove all ads SolutionWhen a coin is tossed once, the number of outcomes is 2 (Head and tail) i.e., in each throw, the number of ways of showing a different face is 2. Thus, by multiplication principle, the required number of possible outcomes is 2 × 2 × 2 = 8 Concept: Fundamental Principles of Counting Is there an error in this question or solution? Advertisement Remove all ads Chapter 7: Permutations and Combinations - Exercise 7.1 [Page 138] Q 5Q 3Q 6 APPEARS INNCERT Class 11 Mathematics Chapter 7 Permutations and Combinations Video TutorialsVIEW ALL [1]
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Q.5. A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there? Answers (1)When a coin is tossed the number of outcomes is 2 i.e. head or tail. When a coin is tossed 3 times then by multiplication principle, the number of outcomes Posted byseema garhwalView full answer Similar Questions
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Answer Verified Hint – In this question take every possible case that can constitute the overall possible outcome. One case can be all heads appearing in tossing of three coins, another case can be appearing of all tails while tossing, similarly there are two more cases. This approach will help get the answer. Complete step-by-step answer: As we know if a coin is tossed the possible number of outcomes is either head (h) or tail (t). Note – This concept serves as basics for solving probability problems, whenever coins are tossed or probability of any event is to be recorded then the overall possible cases has to be taken into consideration. This same concept is used even when we toss 2 coins or when the coins are increased from 3 to say 4. |