10 multiple choice 4 points find the indicated probability. a multiple - choice test has two questions with…
10 multiple choice 4 points find the indicated probability. a multiple - choice test has two questions with each question having five answer choices and only one of the choices is correct. if you randomly guess the answer to each question what is the probability that you answer the two questions correctly? 0.02 0.04 0.4 0.2
Answer
Explanation:
Step1: Calculate probability of one - question correct
The probability of getting one question correct by random guess is $\frac{1}{5}= 0.2$ since there is 1 correct choice out of 5.
Step2: Use multiplication rule for independent events
Since the two questions are independent events, the probability of getting both questions correct is the product of the probabilities of getting each question correct. So $P = 0.2\times0.2$.
Step3: Calculate the final probability
$P=0.04$
Answer:
0.04