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You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die and 5 on red die). (Enter your answer as a fraction.) (c) Find P(5 on green die and 1 on red die). (Enter your answer as a fraction.) (d) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)). (Enter your answer as a fraction.)
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die and 5 on red die). (Enter your answer as a fraction.) (c) Find P(5 on green die and 1 on red die). (Enter your answer as a fraction.) (d) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)). (Enter your answer as a fraction.)
Answer:1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18Step-by-step explanation:Given the following :Two fair dice : 1 green ; 1 redA) Are the outcomes on the dice independent:Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.B) Find P(1 on green die and 5 on red die).Probability = (number of required outcome) / (total possible outcomes)Total outcomes of a dice = 6P(1 on green) = 1 / 6P(5 on red) = 1/6P(1 on green die and 5 on red die) :(1/ 6) × (1/6) = 1/36C) Find P(5 on green die and 1 on red die)P(5 on green) = 1/6P(1 on red) = 1/6Find P(5 on green die and 1 on red die):1/6 × 1/6 = 1/36D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))P(5 on green die and 1 on red die) = 1/36P(1 on green die and 5 on red die) = 1/36P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)= (1/36 + 1/36) = 2 /36 = 1/18...