3. A penny is tossed. We observe whether it lands heads up or tailsup. Suppose t

Question

3. A penny is tossed. We observe whether it lands heads up or tailsup. Suppose the penny is a fair coin, i.e., the probability ofheads is ½ and the probability of tails is ½. Whatdoes this mean?
A. Every occurrence of a head must be balanced by a tail in one ofthe next two or three tosses.
B. If the coin is tossed many, many times, the proportion of tossesthat land heads will be approximately ½, and this proportionwill tend to get closer and closer to ½ as the number oftosses increases.
C. Regardless of the number of flips, half will be heads and halftails.
D. None of the above.

7. A standard deck of cards has 52 cards. The cards have one of 2colors: 26 cards in the deck are red and 26 are black. The cardshave one of 4 denominations: 13 cards are hearts (red), 13 cardsare diamonds (red), 13 cards are clubs (black), and 13 cards arespades (black). One card is selected at random and the denominationis recorded. Which of the following is the correct sample space Sfor the set of possible outcomes?
A. S = {red, black}
B. S = {red, red, black, black}
C. S = {hearts, diamonds, clubs, spades}
D. S = {red, black, hearts, diamonds, clubs, spades}

16. Two events are independent if the occurrence of one of theevents gives us no
information about whether or not the other event will occur; thatis, the events have no
influence on each other. (Events A and B are independent if thefact that A occurs does
not affect the probability of B occurring. )
A. True
B. False

Explanation / Answer

3) B, that means that in the long run, the proportion of getting ahead or a tail approaches to 0.50. 7) Since the question specifies that "the denomination is recorded",we are looking whether the card is a hear, diamond, club or spade.(we are NOT considering if the card is red or black) therefore, the answer is C 16) A, true, that means that the outcome of event A does not affect theoutcome of event B

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