## Question

###### 1:Roll a 20-sided die and observe the number. The chance thatthe number is less than 5 is 20% and the chance that the numberis bigger than 10 is 55%. What is the chance that thenumber is less than 5 or bigger than 10?Enter your probability as a decimal value of the formX.XX2: Pick a student at random. Let B denote theevent that the student ate breakfast this morning; let M denote theevent that the student is male.One of the following choices is larger than the other two. Whichis it?a: P(B)

1:Roll a 20-sided die and observe the number. The chance that the number is less than 5 is 20% and the chance that the number is bigger than 10 is 55%. What is the chance that the number is less than 5 or bigger than 10? Enter your probability as a decimal value of the form X.XX 2: Pick a student at random. Let B denote the event that the student ate breakfast this morning; let M denote the event that the student is male. One of the following choices is larger than the other two. Which is it? a: P(B) b: P(B or M) c:P(B and M) 3: A quiz consists of 10 multiple-choice questions, each with 4 possible answers, only one of which is correct. A student who does not attend lectures on a regular basis has no clue what the answers are, and therefore uses an independent random guess to answer each of the 10 questions. What is the probability that the student gets at least one question right? Let's decide on some notations. Let L be the event that the student gets at least one of the questions right. We'll use R for getting a question right and W for getting it wrong (W is essentially "not R"). What is the value of P(L)? Enter your probability as a decimal rounded to 4 decimal places in the format X.XXXX.