Question

Three fair coins are flipped. What is the probability that at least 2 of them come up heads?

Answer 1

Answer:

The probability that atleast 2 of them come up heads is 0.5

∴ P(A)=0.5

Step-by-step explanation:

Given that three fair coins are flipped.

To find the probability that at least 2 of them come up heads:

Sample space for the given event is

$S={\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}\}$

∴ n(S)=8

Let A be the events of getting atleast 2 Heads and is given by

A = {HHH, HHT, HTH, THH}

∴ n(A)=4

Probability of Getting atleast 2 Heads in 3 Coin Tosses  is

$P(A)=\frac{n(A)}{n(S)}$

$P(A)=\frac{4}{8}$

$=0.5$

∴ P(A)=0.5

∴ the probability that atleast 2 of them come up heads is 0.5