1. If P(A n B)= .13 P(A u B)=.43 , and P(B) = .25, then P(A) is: a. .05 b. .18 c

Question

1. If P(A n B)= .13 P(A u B)=.43 , and P(B) = .25, then P(A) is:

a. .05

b. .18

c. .55

d. .31

2. An experiment consists of selecting a card at random from a 52-card deck. Find the probability of the event that a heart or a king is drawn.

a. 1/4

b. 1/2

c. 19/52

d. 4/13

3. In ''The Numbers Game,'' a state lottery, four numbers are drawn with replacement from an urn containing the digits 0-9, inclusive. Find the probability of a ticket holder having the indicated winning ticket.

One specified digit in exact order (the first, second, third, or fourth digit)

a .01

b .0052

c. .0009

d. .0038

e. .0259

f. 0

4. Which of the following pairs of events are mutually exclusive events?

E1: You draw a face card from a deck
E2: You draw a card having a number from a deck E1: You select a letter from INDIANA
E2: You select a letter from CALIFORNIA E1: The person you hire is a carpenter
E2: The person you hire is a college graduate E1: You buy a car getting more than 40 mpg
E2: You buy a car costing more than $30,000

Explanation / Answer

a) P(B) = 0.43-0.25+0.13= 0.31

Option D is Correct

B) P( heart or king) = 16/52 = 4/13

Option D is correct

Q3) Probability will be = 1/10000 = 0.01

Option A is correct

Q4) option C is correct. Mutually exclusive event are those events in which only one event can occur. In other options both events can occur but in C option person cannot be carpenter or graduate at same time

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