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On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0. 25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0. 6. If a senior closes, the probability of winning is 0. 85

Answer :

Here is a 63.25% for winning the debate given the student distribution and the chance of success  of each type of student.

How are probabilities calculated?

Probability computation in mathematics has a wide range of applications. For example, probability may be used to anticipate sales growth or determine the possibility that a specific marketing strategy would be effective in luring in new customers. Mathematical formulae may also be used to determine the likelihood of something happening.

The probability formula determines the likelihood that an event will occur. The equation for calculating an event's probability uses the ratio of favorable outcomes to all other potential outcomes. The range of probabilities is always 0 to 1. The following is a representation of the general probability equation:

The ratio of favorable outcomes to all other outcomes is used to determine probability.

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