Seven out of thirty students walk to school. Two students are chosen without
replacement. What is the probability that both students walk to school?

Respuesta :

Answer:

7⁄145 = 4.8%

Step-by-step explanation:

P(both students walk) = 7⁄30 · 6⁄29 = 7/145

Hence probability is 7/145 if both student walks

What is conditional Probability?

An occurrence could be described using conditional probability as follows:

It's pouring outside, and the chance of rain is 0.3 (30%) today.

The probability of having to go outside is 0.5 in Event B. (50 percent ).

A conditional probability considers the relationship between these two events, such as the likelihood that it will rain and that you will need to go outside.

How to solve?

Given that 7 student out of 30 come to school by waking hence 7/30=0.233

Also the condition says 2 students are chosen of 30 =2/30

P(both students walk) =P(A/B) [tex]\frac{^7C2}{^30C2} =\frac{\frac{7*6}{2} }{\frac{30*29}{2} } =\frac{7}{29*5}[/tex]

=7/145

where P(A)=2 student chosen at random=2/30 , P(B)= both student walk=2/7

Hence probability is 7/145 if both student walks

Learn more about probability https://brainly.com/question/25870256

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