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Answer:1/4

Step-by-step explanation:Probability of first tails: 1/2, probability of second heads: 1/2, 1/2*1/2=1/4

Probability of the first flip lands tails-up and the second flip lands heads-up is  [tex]\frac{1}{4}[/tex].

What is probability?

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics."

Given

A coin is fliped twice

For the first flip lands tails-up:

Number of favorable outcomes = 1

Total number of favorable outcomes = 2

For the first flip lands heads-up:

Number of favorable outcomes = 1

Total number of favorable outcomes = 2

Formula to find probability

Probability of an event  = [tex]\frac{Number of Favorable Outcomes }{Total Number of Favorable Outcomes}[/tex]

Probability of the first flip lands tails-up  = [tex]\frac{1}{2}[/tex]

Probability of the first flip lands heads-up  = [tex]\frac{1}{2}[/tex]

Probability of the first flip lands tails-up and the second flip lands heads-up is  [tex]\frac{1}{2}[/tex] ×  [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Thus, Probability of the first flip lands tails-up and the second flip lands heads-up is  [tex]\frac{1}{4}[/tex].

Learn more about probability here

https://brainly.com/question/17089724

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