Question: Q1) The probability that a specific student studies is .70. Given that she studies, the probability that she passes the course is .80. Given that

Q1) The probability that a specific student studies is .70. Given that she studies, the probability that she passes the course is .80. Given that she does not study, the probability is .30 that she passes the course. Find the probability that she passes the course.

Q2) A school gives a questionnaire to their 5th graders. The percentage of boys reporting that they have a dedicated space to do homework at home is 36%, for girls the percentage is 28%. The 5th grade students who get the questionnaire are 45% male. What proportion of students overall have a dedicated study space at home?

Q3) John draws one card out of a deck of cards and observes its suit (Hearts, Diamonds, Clubs, Spades). He then replaces the card, shuffles the deck, and draws one more card, observing its color (red or black). What is the probability that he obtains the outcome (Club, Red)? Justify your answer.

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