Answer to Question #246809 in Statistics and Probability for jeanoh brazil

Question

In each of 4 races, the Democrats have a 60% chance of winning. Assuming that the races are independent of each other., what is the probability that:

Answer 1

Solution:

We need to find the probability that the democrats will win at least 1 race.

Let the number of wins out of 4 races be modelled as $X$.

X$\sim Bin(n,p)$

n=4, p=0.60

$P(X\ge 1)=1-P(X=0) \\=1-(0.6)^0(0.4)^4 \\=0.9744$