A couple plans to have three children. What is the probability that a) they have all girls? b} they have at least one boy? Answers should be in fractional form. In a large population, 64% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated? Give your answer as a decimal to 4 places. The spinner below is spun twice. If the spinner lands on a border, that spin does not count and spin again. It is equally likely that the spinner will land in each of the six sectors. {:1 For each question below, enter your response as a reduced fraction. Find the probability of spinning blue on the first spin and cyan on the second spin. Find the probability of spinning blue on the first spin and blue on the second spin. Find the probability of NOT spinning blue on either spin. (Not blue on the first spin and not blue on the second spin.) A fair coin is tossed 6 times. Compute the probability of tossing 6 heads in a row. Enter your response as a reduced fraction.Ajar contains 10 red marbles numbered 1 to 1D and 3 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. {a} The marble is red. P{red)= [ ] {b} The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or add} = {d} The marble is blue or even-numbered. P(blue or even) = Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 3 19 32 Female 7 12 9 28 Total 17 15 28 60 If one student is chosen at random, Find the probability that the student was female: Find the probability that the student was female AND got a "C": Find the probability that the student was male OR got an "C": If one student is chosen at random, find the probability that the student was male GIVEN they got a 'C': Round answers 4 places after the decimal if needed