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Unformatted text preview: 2. Ashley tosses a fair coin eight times. What is the probability
she gets {a} six heads; (b) at least six heads; {ch two heads; and
(d) at most two heads? 4. Russell draws one card from a standard deck. If A. H, C
denote the events A: The card is a spade.
B: The card is red.
C t The card is a picture card (that is, a j ack, queen. or king). Find FHA U B U C}. 12. Let 9° be the sample space for an experiment ‘33 and
let A. B g 5". If FHA] = PrlfB), Firm n B) = lfﬁ, and
Fir[A U B} = lf5.determine Prifl U B). FHA). FHA — B).
Pr[A d. B). 14. The nine members of a coed intramural volleyball team are
to be randomly selected from nine college men and ten college
women. To be classiﬁed as coed the team must include at least
one player of each gender. What is the probability the selected
team includes more women than men? 6. Ceilia tosses a fair eoin ﬁve times. 1What is the probabil—
ity she gets three heads, if the ﬁrst toss results in (a) a head;
(h) a tail? 8. A coin is loaded so that Pr[H) = 2,8 and Fir(T) = U3. Todd tosses this eoio twiee.
Let A, B be the events A: The ﬁrst toss is a tail. B: Both tosses are the same. Are A, 3 independent? 14. Let 3’ he the sample spaee for an experiment ‘E and let
A, B, C LISP. If events A, B are independent, events A, C
are disjoint, and events B, C are independent, ﬁnd Prljﬁ‘) if
Pr[A} = 0.2, Pr(C) = (14, and PrfA U B U C} = {18. 24. The binary string 101101. where the string is unehanged
upon reversing order, is called a palindrome (of length 6). Sup—
pose a binary string of length 6 is randomlyr generated, with [1,
l enqmalllvr liker for each of the six positions in the string. What
is the prohahilitg.r the string is a palindrome it" the ﬁrst and sixth
hits [a] are both 1; (h) are the same? ...
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 Spring '08
 PEARCE

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