Question

I need help with Question 2, Question 3, Question 4, and Question 5 please.

Question . A die was rolled twice、The first time it landed on a number that we will call "x" The second tme landed on a number that we will call "y" We will symbolize some events as follows: x is odd. xis a prime. y is odd. y is a prime. A: B: C: D: Express the following probabilities using the notation "p(.。.)". For example, the chance that x andy are both odd may be expressed asp(A C). (1) The chance that x is odd and y is even. () The chance that x and y are not both odd (i.e., at least one is even). (3) The chance that x is a prime given that it is even. (4) The chance that x is even given that it is a prime. (s) The chance that x and y are both primes given that they are both odd. (6) The chance that at least one of x and y is a prime given that at least one of them is odd. Question a. Use the same setup as Question . Assume that the die was fair. Calculate the six probabilicies mentioned in Question . (The number I is nor a prime.) Question 3. You are lost in a rain forest and have been starving for days, when you stumble upon a delicious-looking mushroom. You don't know whether it is safe to eat, but you know the following 40% of mushrooms grow in rain forests. * 80% of mushrooms are dangerous to eat. 25% of the dangerous-to-ear mushrooms grow in rain forests. What is the chance that this mushroom is dangerous to eat, given that you find it in a rain forest? Question 4. A certain gene, shared by5%ofthe population. ¡s correlated withcolor blindness. A person who carries this gene is 5 times as the chance that a randomly selected person carries this gene, given Whats y to he color blind as a random person. that he is color blind? Extra credit Question 5 (2 points). The chance that Donald Trump will insult someone on Twitter on any given day is /. What is the chance that, during the next week, there will be at least 3 consecutive days during which he does not insult anyone on Twitter?

Answer 1

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