1. For each of the following, state what the sample space is.(a) You select 1 ca

Question

1. For each of the following, state what the sample space is.(a) You select 1 card from a 52 card deck and observe the suit of the card.
(b) How many days a week you go to the gym.
(c) What size drink someone orders from Starbucks (short, tall, grande, venti, trenta).
(d) The sum of the roll of 2 dice

2. A customer is randomly selected from a coee shop. Let A be the event the selected customerordered a beverage, and B be the event the customer ordered food. Suppose P(A) = 0.65, P(B) =0.45, and P(A B) = 0.98.(a) What is the probability that the customer did not order food nor a beverage?
(b) What is the probability that the customer ordered food and a beverage?
(c) What is the probability the customer ordered a beverage but not food? (Hint: You will use theanswer from part b.)
(d) Are the events of ordering a beverage and ordering food mutually exclusive?

Explanation / Answer

(a)

Sample space is {diamond, club, heart, spade}

(b)

Sample space is {1,2,3,4,5,6,7}

(c)

Sample space is {short, tall, grande, venti, trenta}

(d)

Generally question would say sample space for a particular sum e.g. 3 or 6 etc. Here nothing is given hence sample space will be 6 x 6 = 36 for two dice.

As per guidelines we are supposed to answer the first question in case of multiple questions.

Kindly repost and as for solution of the seconds question only. Hope this helps. Good luck.

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