A gameshow uses 10 numbered cards (1–10). The cards are arranged in a line, facing downwards. A card is then turned over one at a time. Before each card is turned over the contestant has to predict whether the next card to be turned is greater than five or not.

The diagrams below show the game after the fourth, fifth and sixth rounds.

a. Which round shows the probability of 1/2 that the next card turned is a number bigger than 5? Justify your answer.

b. Which round shows the probability of 2/3 that the next card turned is a number greater than 5? Justify your answer.

 

Transcribed Image Text:

Round 4 Round 5 Round 6 2 2 2 5 DON 30 3000 5 5 8 8 00 10 ●‒‒‒‒ 100 10 6