To win the game, Elena has to roll an even number first and a number less than 3 second. Her probability of winning is StartFraction 6 over 36 EndFraction.Marta has a lower probability of winning than Elena has. Which could be the outcome that Marta needs to win the game? Select three options.
Answers
Given : To win the game, Elena has to roll an even number first and a number less than 3 second . Marta has a lower probability of winning than Elena has.
To find : Which could be the outcome that Marta needs to win the game . Select all options
Solution:
rolling a sum of 7
rolling a sum of 6
rolling a sum of 2 or a sum of 9
rolling a sum that is greater than 9
rolling a sum that is greater than 2 but less than 5
Even number 2 , 4 , 6 P = 3/6
less than 3 1 ,2 = 2/6
Probability = (3/6)(2/6) = 6/36 = 1/6
rolling a sum of 7
(1,6) , ( 2, 5) , ( 3, 4) , ( 4, 3) , ( 5 , 2) , (6 , 1)
Probability = 7/36 > 6/36
Marta has higher probability
rolling a sum of 6
(1 , 5) , ( 2, 4) , ( 3 , 3) , (4 , 2) , ( 5 , 1)
Probability = 5/36 < 6 /36
rolling a sum of 6
Marta has Lower probability
rolling a sum of 2 or a sum of 9
( 1 , 1) , ( 3 , 6) , ( 4, 5) , ( 5 , 4) , ( 6 , 3)
Probability = 5/36 < 6 /36
rolling a sum of 2 or a sum of 9
Marta has Lower probability
rolling a sum that is greater than 9
Sum 10 , 11 & 12
( 4 , 6) , ( 5 , 5) , ( 6 , 4) , ( 5 , 6) , ( 6 , 5) , ( 6 , 6)
Probability = 6/36 = 6 /36
Marta has Equal probability
rolling a sum that is greater than 2 but less than 5
Sum 3 , 4
( 1, 2) , ( 2 , 1) , ( 1 , 3) , ( 2, 2) , ( 3 , 1)
Probability = 5/36 < 6 /36
rolling a sum that is greater than 2 but less than 5
Marta has Lower probability
Marta needs
rolling a sum of 6
rolling a sum of 2 or a sum of 9
rolling a sum that is greater than 2 but less than 5
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Answer:
b,c, and e
Step-by-step explanation: