ogbobbythman611 ogbobbythman611
  • 21-09-2019
  • Mathematics
contestada

Calculate the probability of landing exactly 3 heads when a fair coin is tossed 5 times.

Respuesta :

AlonsoDehner AlonsoDehner
  • 24-09-2019

Answer:

0.3125

Step-by-step explanation:

When a fair coin is tossed we find that

there are only two outcomes

Each toss is independent of the other

Hence if Xis no of heads then X is binomial with n = 5 and p = 0.5

Using binomial formula we can find probability for getting 3 heads exactly.

Required probability

= P(X=3)

= [tex]5C3(0.5)^3 (0.5)^2\\= 10(0.5)^5\\=0.3125[/tex]

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