Question

Angel and Isaiah have forgotten whose turn it is to mow the lawn. how can they make a fair decision? SELECT ALL THE CORRECT ANSWER

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Answer 1

Answer: Option 1 and 3

Explanation:

A fair decision is when both of them have the same probability of winning and losing, in this case, because we have two possible results, we need to find an experiment with a 50/50 chance.

The coin in option 1 is a good option, 50% of the time it will end in tails and 50% of the time it will come up with heads, so this will be a fair decision.

option 3 also works, because we have two pieces of paper, if you draw one, the probability of drawing a specific one is 1/2 (the specific result divide by the total number of possible results) and this is equivalent to 0.5 or 50%.

The other two options have probabilities that are not equal, for example in the fourth option, Angel mows the lawn when the number is 1 or 6, we have 2 out of 6 results where he mows the lawn, this is p = 2/6 = 1/3

then the probability of Isaiah of mowing the lawn is p = 4/6 = 2/3, wich is bigger.

Answer 2

A and C

Explanation:

This question is on probability.

In the first option A, when a coin is tossed, two outcomes are obtained, a head or a tail. Angel to mop can be represented by heads and Isaiah to mow can be represented by tail.In this case, a 50% chance is observed.

In the third option, putting each person's name on a separate piece of paper in a bag has two outcomes to be obtained. The probability of picking a person name is 50%. You can pick a paper with Angel's name or Isaiah's name.The picked name will mow the lawn.

In the second option B, when a coin is flipped twice, we obtain 4 outcomes; HH,HT,TH,TT. If either toss is tail, TT, then Angel mows the lawn.However, there are 3 other outcomes that could occur which will make Isaiah to mow the lawn.In this case it will be unfair because the probability for Angle to mow, P(A)=1/4 where as that for Isaiah to mow P(I)=3/4

In the last option D, the probability of rolling a cube with a number 1 or 6 is 1/6. This is the same for geting a 2,3,4,or 5.Angel will mow if the number is 1 or 6 where as Isaiah will mow if the number is 2,3,4 or 5. This is unfair to Isaiah because geting any number holds a probability of 1/6, while Angels waits for 2 numbers, he waits for 4 numbers.