Two (fair) coins are tossed sequentially. Using the two events below, match the following statements.Event A = Two of the same faces (HH or TT).Event B = Heads on the second toss (HH or TH). Hints:S, A, B, A', B', AU B, etc. are sets. The match will be a collection of outcomes.P(S), P(A), P(B), P(A'), P(B'), P(AU B), etc. are probabilities. The match will be a singlenumber between 0 and 1.| Р(An B) — ?a. {HH, ΤΗB' = ?b. {НТ, ТH}A'c. 0.25P(AU B) = ?d. 0.75| Р(4) — Р(В) — ?e. {НН, ТТ}A = ?f. {HT,TT}- v AnB = ?g. {HH, ΤΗ, TT|A'n B' = ?h. 0.5|AUB= ?i. {HH}P(S) = ?j. {HT}?k. {HH, НT, TH, }%3DВ — ?I. 1>>>

Answered: Image /qna-images/answer/1f9c2f8d-004d-4bb2-b4b6-99813b671eac.jpg

| P(An B) = ? a. {HH,TH} |B' = ? b. {HT, ТH} v A' ? с. 0.25 | P(AU B) = ? ]P(A) = P(B) = ? d. 0.75 e. (НН, ТТ} v A = ? f. {HT,TT} | AnB = ? g. {ΗH, TΗ, ΤT |A' n B' = ? h. 0.5 v AUB= ? | P(S) = ? |S = ? i. {HH} j. {HT} k. {HH, HT, Тн, Т} |B = ? 1. 1

| P(An B) = ? a. {HH,TH} |B' = ? b. {HT, ТH} v A' ? с. 0.25 | P(AU B) = ? ]P(A) = P(B) = ? d. 0.75 e. (НН, ТТ} v A = ? f. {HT,TT} | AnB = ? g. {ΗH, TΗ, ΤT |A' n B' = ? h. 0.5 v AUB= ? | P(S) = ? |S = ? i. {HH} j. {HT} k. {HH, HT, Тн, Т} |B = ? 1. 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 6E

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Question

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Two (fair) coins are tossed sequentially. Using the two events below, match the following statements.

Event A = Two of the same faces (HH or TT).
Event B = Heads on the second toss (HH or TH).

Hints:
S, A, B, A', B', AU B, etc. are sets. The match will be a collection of outcomes.
P(S), P(A), P(B), P(A'), P(B'), P(AU B), etc. are probabilities. The match will be a single
number between 0 and 1.
| Р(An B) — ?
a. {HH, ΤΗ
B' = ?
b. {НТ, ТH}
A'
c. 0.25
P(AU B) = ?
d. 0.75
| Р(4) — Р(В) — ?
e. {НН, ТТ}
A = ?
f. {HT,TT}
- v AnB = ?
g. {HH, ΤΗ, TT
|A'n B' = ?
h. 0.5
|AUB= ?
i. {HH}
P(S) = ?
j. {HT}
?
k. {HH, НT, TH, }
%3D
В — ?
I. 1
>>
>

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