If two coins are tossed 5 times,what is the p | vedclass

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(A) When two coins are tossed $5$ times,the total number of tosses is $2 	imes 5 = 10$.The total number of possible outcomes is $2^{10} = 1024$.We wa

Vedclass · Accepted Answer

$63/256$

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(A) When two coins are tossed $5$ times,the total number of tosses is $2 	imes 5 = 10$.The total number of possible outcomes is $2^{10} = 1024$.We want to find the probability of getting exactly $5$ heads and $5$ tails in $10$ tosses.The number of ways to choose $5$ positions for heads out of $10$ total positions is given by the combination formula $\binom{n}{r} = \frac{n!}{r!(n-r)!}$.Here,$n = 10$ and $r = 5$,so the number of favorable outcomes is $\binom{10}{5} = \frac{10!}{5! 	imes 5!} = \frac{10 	imes 9 	imes 8 	imes 7 	imes 6}{5 	imes 4 	imes 3 	imes 2 	imes 1} = 252$.The probability is $\frac{	ext{favorable outcomes}}{	ext{total outcomes}} = \frac{252}{1024}$.Simplifying the fraction by dividing both numerator and denominator by $4$,we get $\frac{63}{256}$.

If two coins are tossed $5$ times,what is the probability of getting $5$ heads and $5$ tails?

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