You are playing a game with your friends, Alex and Jeff. The first player who rolls a total of seven using two number cubes gets to start the game. Explain how to find the probability that you will roll a total of seven on your first try.
A table can show all the possible sums for two number cubes. Using the table, there are 6 ways to get 7, and 36 possible sums, so the probability is 6/36 1/6.
What is the probability that he will lose his next turn?
Jeff can win the game if he rolls 11 on the two number cubes. If he rolls an even sum, however, he will lose his next turn.
What is the probability that he will win the game?
Alex says that if he rolls an odd number on the first number cube, it is more likely that he will roll an even number on the second number cube. Is he correct? Explain.
Alex is not correct. Rolling the two number cubes are independent events and the probability of getting an odd or an even number on either roll will be ½.
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The events are dependent, so the sample space changes for the second draw. After drawing the first marble, there are only 11 marbles left. The probability is ( 2 12 ) ( 4 11 ) = 8 132 , or 2 33 .
Francisco’s game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. Andrew wants to increase the likelihood of selecting a yellow marble. How can the game be modified to make drawing a yellow marble more likely? Select all that apply.
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