Hands-On Probability and Statistics 4: Mutually Exclusive Events - Practical Exercises

Hands On: Probability and Statistics -4

Problem Statement
In each of 4 different competitions, Jin has a 60% chance of winning.
Assuming that the competitions are independent of each other, what is the
probability that: Jin will win at least 1 race. Use Binomial distribution

Note:
1. Display the probability in decimal rounded off to 2 decimal places
2. Hint:  P(x>=1)=1-P(x=0)
3. Use the binom.pmf() function of scipy.stats package.

Function Description
Function Name: binomial()
    1. Output:
ans: Float - Denotes the probability that Jin will win at least 1 race.

from scipy import stats

def binomial():
    '''
    output: ans : Float
    '''
    #Write your code here
    #Assign the probability value to the variable ans
    #Round off to 2 decimal places

    p = 0.6  # probability of winning each competition
    n = 4  # number of competitions
    k = 1  # minimum number of competitions Jin must win

    # Compute the probability using the cumulative distribution function (CDF) of the binomial distribution
    # which calculates the probability of getting k or more successes in n independent trials with a
    # probability p of success in each trial
    ans = round(1 - stats.binom.cdf(k - 1, n, p), 2)

    return ans


if __name__=='__main__':
	print(binomial())

Output:

0.97