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Mathematics, 10.05.2021 20:40 jdkrisdaimcc11
1. In a particular game, a spinner with four equally-sized sectors labeled 1, 3, 5, and 6 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move backward 6 spaces. Otherwise, you move forward 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
3 spaces forward
1 space backward
3 spaces backward
1 space forward
2. Anya may choose one of two options for the method in which she may be awarded a money prize.
OPTION A: Spin a spinner twice. The spinner is divided into four equally-sized sectors numbered 1, 2, 5, and 5. If the sum of the two spins is greater than 6, Anya is awarded $8. Otherwise, she must pay $2.
OPTION B: Flip a coin three times. If heads appear 3 times, Anya is awarded $50. Otherwise, she must pay $1.
Anya chooses the option with the greater mathematical expectation.
How much more money can Anya expect to make by choosing this option over the other option?
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Answers: 3
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