Question

please do this as simple as you can!

if you flip a fair coin 10 times what is the probability of
a) getting all tails?
b) getting all heads
c) getting atleast 1 tails

Answer 1

if you toss a fair coin one time,

then the probability of getting head = 1/2 and probability of getting tail = 1/2

a).if you flip a coin 10 times , then the probability of getting all tails is :-

probability of getting tail in first trial = 1/2

probability of getting tail in n th  trial = 1/2

so,the probability of getting all tails is:-

P(1st trail)*P(2nd trail).........*P(10th trail)

= 1 / 1024

b).if you flip a coin 10 times , then the probability of getting all heads is :-

probability of getting head in first trial = 1/2

probability of getting head in n th  trial = 1/2

so,the probability of getting all heads is:-

P(1st trail)*P(2nd trail).........*P(10th trail)

= 1 / 1024

c).probability of getting atleast 1 tails in 10 flips be:-

=1 - probability of getting no tail in the 10 tosses

= 1- probability of getting all heads in the 10 tosses

[ from b]

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