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Next questionWhen a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.52 and the probability of Its landing tip down (D) is 0.48. Suppose you flip two such thumbtacks, one attime. The probability distribution for the possible outcomes of these flips is shown below.a. Find the probability of getting O ups, 1 up, or 2 ups when flipping two thumbtacks.b. Make a probability distribution graph of this.UUUDDUDDProbability0.2704 0.2496 0.24960.2304

Next questionWhen a certain type of thumbtack is flipped the probability of its landing tip up U is 052 and the probability of Its landing tip down D is 048 Sup class=

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Answer: [tex]Probab\imaginaryI l\imaginaryI ty\text{ of 0 ups = 0.2304}[/tex]Explanation:

Probability of landing up (U) = 0.52

Probability of landing down (D) = 0.48

We need to find the probability of getting 0 ups when two thumbtacks is flipped

The probability of getting 0 ups = Probability of getting two downs

[tex]\begin{gathered} Probability\text{ of 2 downs = Pr\lparen landing down\rparen }\times\text{ Pr\lparen landing down\rparen} \\ \\ Probability\text{ of 2 downs = 0.48 }\times\text{ 0.48} \end{gathered}[/tex][tex]\begin{gathered} Probability\text{ of 2 downs = 0.2304} \\ \\ Probability\text{ of 0 ups = 0.2304} \end{gathered}[/tex]

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