1. A child\'s board game contains a spinner with three colors: orange, yellow, a

Question

1. A child's board game contains a spinner with three colors: orange, yellow, and green. Give the sample space for spinning the spinner two times in a row. b. a. Find the probability of spinning the spinner twice and getting orange at least one time. 2. The game board for the television show "Jeopardy" is divided into 6 categories with each category containing 5 answer squares. In the Double Jeopardy round, there are 2 hidden Daily Double squares in the game board. What is the probability of choosing a Daily Double square on the first turn? When we roll two dice, there are 36 possible outcomes (shown above). Imagine rolling two dice and subtracting: the number on the black die minus the number on the white die So if we roll a 5 and a 2, we subtract these and get 3. On the other hand if we roll a 2 and a 5, we subtract and get -3 3. 4. 5. What is the probability that we roll two dice, subtract the numbers, and get a 0? What is the probability that we roll two dice, subtract the numbers, and get a -2? What is the probability that we roll two dice, subtract the numbers, and get a 2?

Explanation / Answer

1. Sample space = (orange, orange) (orange, yellow) (orange, green) (yellow yellow) (yellow green) (green, green)

2. P(at least one orange) = 1 - P(no orange)

= 1 - (2/3)x(2/3)

= 1 - 4/9

= 5/9

2. Total number of options = 5x6 = 30

Number of daily double squares = 2

P(daily double square) = 2/30 = 1/15

3. P(0) = P(both numbers are same) = 6/36 = 1/6

4. P(-2) = 4/36 = 1/9

5. P(2) = 4/36 = 1/9

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