If a coin is flipped 10 times, what is the probability that it will show all heads or all tails?
so you want the probability of HHH...H and TTT...T each flip has probability of 1/2 , and we multiply probabilities P(H & H & H ...) = P( H) * P(H) * .. P(H) = 1/2 * 1/2 * ... 1/2
i beleive that it is .000976563% but i could be wrong
P ( HHH HHH HHH H TTT TTT TTT T) = (1/2)^10 + (1/2)^10
P ( HHHHHHHHHH or TTTTTTTTTT) = (1/2)^10 + (1/2)^10 = 2 * (1/2)^10 = 1/2^9
you are wrong, it should be .001953
hmm sorry its been awhile as i am in the 11th grade
a 5:5 chance since half of 10 is 5
there is a 5:5 chance with 1 coin getting heads, not ten coins
think about it, it is extremely unlikely to flip a coin ten times and get ten consecutive heads, or ten consecutive tails
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