Multiple choice

A random sample of $1,000$ men was selected and each individual was asked to indicate his age and his favorite sport. The results were as follows. Age/ Sports Volleyball Basket ball Hockey Football Below $20$ $26$ $47$ $41$ $36$ $20-29$ $38$ $84$ $80$ $48$ $30-39$ $72$ $68$ $38$ $22$ $40-49$ $96$ $48$ $30$ $26$ $50$ and above $134$ $44$ $18$ $4$ If a respondent is selected at random, what is the probability that he doesn't prefer Hockey

  1. $\dfrac {793}{1000}$
  2. $\dfrac {93}{1000}$
  3. $\dfrac {73}{1000}$

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total respondents = 1000. Total who prefer Hockey: 41 + 80 + 38 + 30 + 18 = 207. Probability of preferring Hockey = 207/1000. Probability of NOT preferring Hockey = 1 - 207/1000 = 793/1000.

AI explanation

The total number of respondents is 1000, and the number of people who prefer Hockey is the sum of the values in the Hockey column: 41 + 80 + 38 + 30 + 18 = 207. Using the complementary event probability formula, the probability that a randomly selected respondent does not prefer Hockey is 1 minus (207/1000), which equals 793/1000.

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