Round all probabilities to 3 significant figures. 1. Assume that a Rowan student

Question

Round all probabilities to 3 significant figures. 1. Assume that a Rowan student is randomly selected. a) Find the probability that his or her birthday is February 16. (lgnore leap years.) b) Find the probability that his or her birthday is in February (Ignore leap years.) c) Find the probability that he or she was born on a day of the week that starts with "T." 2. Suppose you toss two balanced coins. Let A = the event that you toss exactly one head, and let B = the event that you toss at least one tail. a) Construct the sample space. (Assume that heads and tails are equally likely.) b) Use set notation to list the outcomes in A. Find P(A). c) Use set notation to list the outcomes in B. Find P(B) d) Find P(A) e) Find P(B). 3. Suppose y ou conduct a chance experiment that consists of rolling a pair of six-sided dice one time and recording the number that lands up on each die. The possible outcomes are shown below: 93 853883 83 B3 a) What is the probability that the sum of the dice is 6? b) What is the probability that you roll a pair of threes? c) What is the probability that the sum of the two dice is an even number? d) What is the probability that a five appears on at least one die? e) What is the probability that the sum of the dice is 10 or more?

Explanation / Answer

#2.
a)
Sample space is as below
{ TT, TH, HT, HH}

b)
A = { TH, HT }
P(A) = 2C1/4C1 = 2/4 = 1/2 = 0.5

c)
B = {TT, TH, HT}
P(B) = 3/4 = 0.75

d)
P(A') = 1 - P(A) = 1 - 0.5 = 0.5

e)
P(B') = 1 - 0.75 = 0.25

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