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Back to 3.5 Tree and Venn Diagrams

3.5 Exercise 3

Avg difficulty 2.5


Calculate the following probabilities using the tree diagram.

a. P(RR) = ________

b. Fill in the blanks:

P(RB OR BR) = ( 3 11 )( 8 10 ) + (___)(___) =  48 110 \left(\frac{3}{11}\right) \left(\frac{8}{10}\right) \textrm{ } + \textrm{ }(___)(___)\textrm{ } = \textrm{ } \frac{48}{110}

c. P(R on 2nd|B on 1st) =

d. Fill in the blanks.

P(R on 1st AND B on 2nd) = P(RB) = (___)(___) = 24 110 \frac{24}{110}

e. Find P(BB).

f. Find P(B on 2nd|R on 1st).

OpenStax Introductory Statistics 2e, 3.5 Tree and Venn Diagrams, exercise 3

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.