The Probabilities Shown in a Table with Two Rows $A _ { 1 } \text { and } A _ { 2 }$

question 24

Multiple Choice

The probabilities shown in a table with two rows, $A _ { 1 } \text { and } A _ { 2 }$
And two columns, $B _ { 1 } \text { and } B _ { 2 }$
,are as follows: $P \left( A _ { 1 } \text { and } B _ { 1 } \right) = .10$
, $P \left( A _ { 1 } \text { and } B _ { 2 } \right) = .30$
, $P \left( A _ { 2 } \text { and } B _ { 1 } \right) = .05$
,and $P \left( A _ { 2 } \text { and } B _ { 2 } \right) = .55$
) Then $P \left( A _ { 1 } \mid B _ { 2 } \right)$
,calculated up to two decimals,is

• A) .33
• B) .35
• C) .65
• D) .67

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