The probability is 12 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?

Respuesta :

Answer:

0.875

Step-by-step explanation:

Given that a fair coin is tossed.

The probability for head turning up is 1/2= 0.5

When coin is tossed three times we know each toss is independent of the other.

Also probability of getting tail is = 0.5 in each trial

So X = the number of tails obtained in 3 tosses is binomial with n = 3 and p = 0.5

Required probability =

the probability that on at least one of the tosses the coin will turn up tails

=[tex]P(X\geq 0)\\= 1-P(X=0)\\\\=1-(1-0.5)^3\\= 0.875[/tex]