Question: PROBABILITY: 1. Each day, Tovah's math teacher gives the class a warm-up question. It is a true-false question 55% of the time and a multiple-choice

PROBABILITY: 1. Each day, Tovah's math teacher gives the class a warm-up question. It is a true-false question 55% of the time and a multiple-choice question 45% of the time. Tovah gets 80% of the true-false questions correct, and 85% of the multiple-choice questions correct. Tovah answers today's question correctly.

Algebraically determine the probability, to the nearest hundredth, that it was a multiple-choice question 2.) Three people are running for president of the student council. The polls show Jamal has a 45% chance of winning, Rebecca has a 30% chance of winning, and Henry has a 25% chance of winning.

i) Calculate the odds in favour of each person winning.

ii) Suppose that Henry withdraws and offers his support to Rebecca. Further suppose that his supporters also switch to Rebecca. Algebraically determine the odds in favour of Rebecca winning now.

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