Answer:
0.0009765625
Step-by-step explanation:
Each multiple choice question has 4 equally likely alternatives.
Hence, probability of guessing the right answer for 1 question is [tex]\[\frac{1}{4}\][/tex] = 0.25
Hence, probability of guessing the wrong answer is [tex]\[\frac{1}{4}\][/tex] = 0.75
The probability of guessing 5 or more questions correctly = probability of guessing 5 questions correctly & 1 question wrong + probability of guessing 6 questions correctly
= [tex]\[0.25^{5}*0.75+0.25^{6}\] [/tex]
= 0.000732421875 + 0.000244140625
= 0.0009765625