Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction 0. 033 0. 267 0. 461 0. 733.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Van guessed on all 8 questions of a multiple-choice quiz.

Each question has 4 answer choices.

Then the probability of the correct answer (p) is 0.25 and the probability of the wrong answer is 0.75.

Then the probability that he got exactly 1 question correct will be

[tex]\rm P = \ ^{n}C_r * p^r (q)^{n-r}\\\\P = ^8C_1 * 0.25^1 * 0.75^{8-1}\\\\P = 0.26696 \approx 0.267[/tex]

The probability that he got exactly 1 question correct is 0.0267.

Thus, the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

steviboi steviboi · Answer 2 · 2022-05-24T22:04:05+02:00

steviboi steviboi

24-05-2022

Answer:

B is the correct answer on edge

Step-by-step explanation:

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