A certain jackpot game has a small but positive probability of winning. You have

Question

A certain jackpot game has a small but positive probability of winning. You have played the game 500 times, and have yet to win. Which of the following is true (there maybe more than one statement true, or even none)? Explain each answer

A. The modeled probability of winning the game is zero.

B. The modeled probability of winning the game is less than 1/500 but not zero.

C. The relative frequency of winning the game is zero.

D. The relative frequency of winning the game is less than 1/500 but not zero.

Explanation / Answer

A.False

probability of winning the game is less than 1/500 because there is a possibility of winning but we dont no in which trail i.e.,you have played 500 times,but yet to win.So,modeled probability is less than 1/500.

B.True

  probability of winning the game is less than 1/500 because there is a possibility of winning but we dont no in which trail i.e.,you have played 500 times,but yet to win.So,modeled probability is less than 1/500.

C.False

Relative frequency = (number of trials that are successful)/(total number of trials)

=1/500

we dont dont get win even after 500 trails so we have to play again to get the win.So,the denominator increases so the value decreases so the relative frequency is less than 1/500.

D.true

Relative frequency = (number of trials that are successful)/(total number of trials)

=1/500

we dont dont get win even after 500 trails so we have to play again to get the win.So,the denominator increases so the value decreases so the relative frequency is less than 1/500.

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