Question

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A coin is tossed 6 times, and the outcomes are noted. How many possible outcomes can be there?
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Answer 1

Step-by-step explanation:

A coin is tossed 6 times ,

so the sample space is -

S = { 1 , 2 , 3 , 4 , 5 , 6 }

And sample points are -

n ( S ) = 6

So there are 6 possible outcomes.

mark me brainliest.

Answer 2

$\star \; {\underline{\boxed{\pmb{\green{\sf{ \; Given \; :- }}}}}}$

• A Coin is tossed 6 times

$\star \; {\underline{\boxed{\pmb{\orange{\sf{ \; To \; Find \; :- }}}}}}$

• Total No. of Outcomes = ?

$\\ \qquad{\rule{200pt}{2pt}}$

$\star \; {\underline{\boxed{\pmb{\purple{\sf{ \; SolutioN \; :- }}}}}}$

$\dag \; {\underline{\underline{\pmb{\sf{ \; Calculating \; the \; Total \; Outcomes \; :- }}}}}$

$\longmapsto$ As we know that when a coin is tossed there are two outcomes head & tail .So :

$\qquad \; \; \longrightarrow {\underline{\boxed{\pmb{\sf{ One \; Toss = 2 \; Outcomes }}}}} \; \red\bigstar$

$\longmapsto$ If the Coin will be tossed 6 times .So, in each throw, the number of ways to get a different face will be 2 .By multiplicative principle we have :

$\begin{gathered} \qquad \; \longrightarrow \; \sf{ Six \; Tosses = 2 \times 2 \times 2 \times 2 \times 2 \times 2 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf{ Six \; Tosses = {2}^{3} \times {2}^{3} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \sf{ Six \; Tosses = {2}^{6} } \\ \\ \\ \end{gathered}$

$\qquad \; \; \longrightarrow {\underline{\boxed{\pmb{\sf{ Six \; Tosses = 64 \; Outcomes }}}}} \; \purple\bigstar$

$\therefore \;$ There could be 64 Possible Outcomes .

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