A medical clinic is randomly selecting two staff members to attend a conference. The clinic employees include 7 nurses, 3 doctors, and 2 office staff. The nurses want to know the probability that both attendees will be nurses. The tree diagram displays the possible outcomes of randomly selecting two staff members.

Which probability is represented by label 4 in the tree diagram?

A) 5/12

B) 5/11

C) 6/ 11

D) 7/12

A medical clinic is randomly selecting two staff members to attend a conference The clinic employees include 7 nurses 3 doctors and 2 office staff The nurses wa class=

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Answer:

c. 6/11

Step-by-step explanation:

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The probability that 4 is represented in the tree diagram is 6/11. Option C is correct.

  • Probability is the likelihood or chance that an event will occur.

  • Probability = Expected outcome/Total outcome

From the diagram, the total outcome if nurses are randomly selected is expressed as:

  • Total outcome = 2 + 4 + 5 = 11 outcomes

In order to get the probability of representing label 4, the expected outcome is 6;

  • Pr(label 4) = 6/11

Hence the probability that 4 is represented in the tree diagram is 6/11

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