When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome. Choose the correct answer below and fill in the answer boxes within your choice. (Type integers or decimals. Do not round.) A. There are two arrangements; UD and DU. The probabilities are P(UD) = and P(DU)= B. There are three arrangements; UU, UD, and DU. The probabilities are P(UU) = P(UD) = P(DU) = C. There are two arrangements; UU and DD. The probabilities are P(UU)= and P(DD)= and D. There are four arrangements; UU, UD, DU, and DD. The probabilities are P(UU) = ☐, P(UD) =, P(DU), and P(DD) = .

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its
landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible
arrangements using U for up and D for down. Find the probabilities of each possible outcome.
Choose the correct answer below and fill in the answer boxes within your choice.
(Type integers or decimals. Do not round.)
A. There are two arrangements; UD and DU. The probabilities are P(UD) = and P(DU)=
B. There are three arrangements; UU, UD, and DU. The probabilities are P(UU) = P(UD) =
P(DU) =
C. There are two arrangements; UU and DD. The probabilities are P(UU)= and P(DD)=
and
D. There are four arrangements; UU, UD, DU, and DD. The probabilities are P(UU) = ☐, P(UD) =,
P(DU), and P(DD) = .
Transcribed Image Text:When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome. Choose the correct answer below and fill in the answer boxes within your choice. (Type integers or decimals. Do not round.) A. There are two arrangements; UD and DU. The probabilities are P(UD) = and P(DU)= B. There are three arrangements; UU, UD, and DU. The probabilities are P(UU) = P(UD) = P(DU) = C. There are two arrangements; UU and DD. The probabilities are P(UU)= and P(DD)= and D. There are four arrangements; UU, UD, DU, and DD. The probabilities are P(UU) = ☐, P(UD) =, P(DU), and P(DD) = .
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