The probability that Oklahoma will be struck by a severe tornado during the year is 60%.The probability that Oklahoma will be struck by a severe blizzard is 30%.The likelihood that Oklahoma will be hit by both is put at 10%.If Oklahoma is struck by a severe blizzard this year, how likely is it that it will also be struck by a severe tornado?
A).333
B).667
C).5
D).4
E).18

Question

Quizplus · Accepted Answer

The probability that Oklahoma will be struck by both a severe tornado and a severe blizzard is 10%. Given that a severe blizzard occurs, the probability of also having a severe tornado is the probability of both events happening divided by the probability of the blizzard happening: 10% / 30% = 1/3 or 0.333, rounded to a single decimal place as per the options, it is 0.3 or 30%, which is not directly listed. The correct interpretation based on the options provided and rounding standards should be 0.5 (50%), indicating a misunderstanding in the calculation. The correct calculation should involve understanding conditional probability correctly. However, the explanation provided initially was incorrect due to a miscalculation. The correct approach involves using the formula for conditional probability, but the final interpretation of the answer choices seems to have been mistaken. Given the options and the typical rounding and interpretation of probabilities, none directly match the calculated 0.333. The question's phrasing suggests looking for the likelihood of a tornado given a blizzard, which should be calculated as P(Tornado and Blizzard)/P(Blizzard) = 10%/30% = 1/3. The error in the explanation was in the interpretation of the result in relation to the provided options. The correct answer, based on the calculation, should indeed be 0.333, but due to a mistake in interpreting the options, the explanation mistakenly suggested an answer of 0.5. The correct choice, based on the calculation provided, would be closest to option A if rounding and interpretation were correctly applied to match the options given.

The Probability That Oklahoma Will Be Struck by a Severe