Two six-sided fair dice are rolled simultaneously. The probability that the sum of the two numbers rolled is greater than 3, giv
en that the sum of the numbers is not greater than 5, is . The probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
A) Possible outcomes are ... (1, 3), (1, 4), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1) for a total of 7 out of 36 outcomes that match your requirements. p(3 < sum ≤ 5) = 7/36
B) Possible outcomes are ... (6, 1), (6, 3), (6, 5), (1, 6), (3, 6), (5, 6) for a total of 6 out of 36 outcomes that match your requirements. p(6 and odd) = 6/36 = 1/6
We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:
y = 2x + 50
His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.
