4. You roll a fair six-sided dice twice and record the results, in order. The sample...

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Question

Answer 1

Answer #1

BASED ON THE GIVEN DATA AND SAMPLE SPACE, WE CAN CALCULATE

A) POSSIBLE OUTCOMES = 6*6 = 36

B) POSSIBILITIES THAT SUM OF RESULTS IS EQUAL TO 10 ARE - (6,4) , (5,5) , (4,6)

PROBABILITY THAT SUM OF RESULTS IS EQUAL TO 10 , P = 3/36 = 0.0833

C) POSSIBILITIES THAT THE FIRST ROLL WAS 4 AND TOTAL IS EQUAL TO 10 ARE - (4,6)

PROBABILITY THAT THE FIRST ROLL WAS 4 AND TOTAL IS EQUAL TO 10, P = 1/3 = 0.3333

D) POSSIBILITIES THAT THE FIRST ROLL WASN'T 4 AND TOTAL IS EQUAL TO 10 ARE - (6,4) , (5,5)

PROBABILITY THAT THE FIRST ROLL WASN'T 4 AND TOTAL IS EQUAL TO 10, P = 2/3 = 0.6667

Answer 2

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