.50 Independent or dependent trials and pr8Baumty. Gamblers often falsely predic
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.50 Independent or dependent trials and pr8Baumty. Gamblers often falsely predict the outcome of a future trial based on the outcome of previous trials. When trials are independent, the outcome of a future trial cannot be predicted based on the outcomes of previ ous trials. For each of the following examples, (1) state whether the trials are independent or dependent and (2) explain why. In addition, (3) state whether it is possible that the quote is accurate or whether it is defi nitely fallacious, explaining how the independence or ) 2 dependence of trials influences accuracy. a. You are playing Monopoly and have rolled a pair of sixes in 4 out of your last 10 rolls of the dice, You say, “Cool. rm on a roll and will, get sixes again." b. You are an Ohio State University football fan and are sad because the team has lost two games ina row. You say, "That is really unusual; the Buckeyes are doomed this season. That's what happens with lots of early-season injuries."Explanation / Answer
1> Independent events as long as the dices are un-biased. since the probability of having a pair of sixes in a roll of two dices
Pair of 6's= 1/6*1/6 ( roll of 2 dices)
So 4 Pair of sixes= (4*(1/6*1/6) and the sequence of apperance of two 6's in independent.
2> Dependent event as the probability of loss is also dependent on the injury to key players.
3> Dependent event as it depends on the tune up done. so the outcome is dependent on the event done before.
4> Independent events as the outcome in not dependent on the store or the sequence of events is not dependent on the order in which stockings are worn.
End of answer!!
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