Multiple choice

A coin is tossed 500 times. Heads appears 300 times and tails appears 200 times. If the coin is tossed again, what is the probability of not getting a tails?

  1. 2/5

  2. 2/3

  3. 3/5

  4. 4/5
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C Correct answer
Explanation

The previous results (300 heads, 200 tails) suggest the probability of heads is 300/500 = 3/5 and tails is 200/500 = 2/5. Not getting a tail is equivalent to getting a head, which has a probability of 3/5.

AI explanation

The empirical probability of an event is the ratio of the number of times it occurs to the total number of trials. The probability of getting tails is 200 divided by 500, which equals 2/5. Because getting a tails and not getting a tails are complementary events, subtract this probability from 1 to get 3/5.

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