Section 4 -3: Conditional Probability with Contingency Tables Simple Probability: One Event 1. A local high school has a Freshman, Junior Varsity and Varsity basketball team. Each team has Guards, Forwards and Centers. Each paler plays on only one team at only one position. The coach lists the teams and number of players at each position for the 50 players . Sample Space: Guards (G) Forwards (F) Centers (C) Totals Varsity Team (V) 7 10 3 20 Jr. Varsity Team (JV) 5 7 3 15 Freshman Team (Frosh) 3 8 4 15 Totals 15 25 10 50 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 1A. P( G ) = 1B. P( JV ) = Fraction Decimal Fraction Decimal 10. P( F ) = 1D. P( C ) = 1E. P( Frosh ) = 1F. P( V ) = 1G. P( C ) = 1H. P( V ) = 11. P( F )= 1J. P( Frosh ) = 1K. P( G ) = 1L. P( JV ) =2. A blood bank catalogs blood types O, A, B, and AB , including RH+ positive and RH- negative, given by donors in the last 5 days Sample Space: O A B AB Totals RH - 151 132 38 11 332 RH + 28 22 10 8 68 Totals 179 154 48 19 400 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 2A. P( O ) = 2B. P( RH + ) = Fraction Decimal Fraction Decimal 2C. P( B ) = 2D. P( AB ) = 2E. P( RH - ) = 2F. P( A ) = 2G. P( 0 ) = = 2H. P( RH + ) = 21. P( RH - )= 2J. P( AB ) = 2K. P( A ) = 2L. P( B ) =Conditional Probability: One Event 3. A local high school has a Freshman, Junior Varsity and Varsity basketball team. Each team has Guards, Forwards and Centers. The coach lists the team and number of players at each position for the 50 players. All final answers must be in decimal form rounded to 2 decimal places. Sample Space: Guards (G) Forwards (F) Centers (C) Totals Varsity Team (V) 8 11 2 21 Jr. Varsity Team (JV) 5 7 3 15 Freshman Team (Frosh) 4 9 14 Totals 17 27 6 50 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 3A. P( G and V ) =_ 3B. P( F and JV ) = Fraction Decimal Fraction Decimal 3C. P( C and JV ) = 3D. P( Frosh and C ) = 3E. P( C and F ) = 3F. P ( For C ) = 3G. P( V or F ) = 3H P ( Frosh or C ) = E 31. P( JV or V ) = 3J. P( V or C ) = 3K. P( V or G ) = 3L. P( V or Frosh ) = = 3M. P( C or JV ) = 3N. P( V and G ) = EConditional Probability: One Event 4. A blood bank catalogs blood types O, A, B, and AB , including RH+ positive and RH-negative, given by donors in the last 5 days Sample Space: O A B AB Totals RH - 151 132 38 1 1 332 RH + 28 22 10 B 68 Totals 179 154 48 19 400 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 4A. P( O and RH + ) = 4B. P( A and B ) = Fraction Decimal Fraction Decimal 4C. P( A or B ) = 4D. P(RH + or RH -) = 4E. P( RH - and B ) = 4F. P ( RH - or B ) = 4G. P( O or RH + ) = E 4H P ( RH + or AB ) = 41. P( O or AB ) = 4J. P( RH - or O ) = = 4K. P( A and RH + ) = 4L. P( O and RH - ) = 4M. P( O or B ) 4N. P( RH+ or B ) =Conditional Probability: One Event Al B 5. A local high school has a Freshman, Junior Varsity and Varsity basketball team. Each team has Guards, Forwards and Centers. Each player plays on one team and at one position. The coach lists the team and number of players at each position for the 50 players. Sample Space: Guards (G) Forwards (F) Centers (C) Totals Varsity Team (V) 8 11 2 21 Jr. Varsity Team (JV) 5 7 3 15 Freshman Team (Frosh) 4 9 14 Totals 17 27 6 50 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 5A. P( GIV ) = 5B. P( JVIC ) = Fraction Decimal Fraction Decimal 5C. P( G I Frosh ) = 5D. P( C IJV ) = 5E. P( FI JV ) = 5F. P( VIF ) = 5G. P( GI V ) = 5H. P( JVIC ) = 51. P( FIG ) = 5J. P( V IF ) = 5K. P( VI (G or F) ) = 5L. P( C I ( V or JV) ) =6. A blood bank catalogs blood types O, A, B, and AB , including RH+ positive and RH- negative, given by donors in the last 5 days. Sample Space: O A B AB Totals RH - 151 132 38 11 332 RH + 28 22 10 8 68 Totals 179 154 48 19 400 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 6A. P( O I RH + ) = 6B. P( RH - I A ) = Fraction Decimal Fraction Decimal 6C. P( RH - I AB ) = 6D. P( BI RH - ) = 6E. P( RH + 1 0 ) = 6F. P( RH - I B ) = 6G. P( BI RH - ) = 6H. P( RH + I AB ) = E 61. P( Al B ) = 6J. P( RH - I A ) = 6K. P( RH- I (A or B) ) = 6L. P( RH+ 1 ( O or B)) = 6M. P( (A or B) I RH- ) = 6N. P( (A or B) | RH +) =7. The table below displays the official Titanic casualty figures for the ships fatal last trip. Men (M) Women (W) Children (C) Totals Survived (S) 338 316 57 Died (D) 1352 109 52 Totals Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 7A. P( S and C ) = 7B. P( W and D ) = Fraction Decimal Fraction Decimal 7C. P( M and S ) = 7D. P( S and M ) = 7E. P( D and C ) = 7F P( W or C ) = 7G. P( M or W ) = 7H. P(S and C ) = 71. P( SIC ) = 7J. P( MID ) = 7K. P( SIC ) = 7L. P( C I D ) = 7M. P( CIM ) = 7N. P( M ID ) =8. The table below contains the gender and party affiliation for the 2009 - 2010 California State Legislature. Democrat Democrat Republican Republican Men Women Men Women Totals (DM) (DW) (RM) (RW)) Senate (S) 12 12 15 1 40 Assembly(A) 35 16 25 4 80 Totals 47 28 40 5 120 Find the following probabilities if 1 person is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. BA. P( S ) = 8B. P( W ) = Fraction Decimal Fraction Decimal 8C. P( M ) = 8D. P( D ) = BE. P( A and W ) = 8F. P( M and S ) = E BG. P( A or S ) = 8H. P( S and DM ) = 81. P( DM or RM ) = BJ. P( SIM ) = BK. P( RW or DM ) = BL. P( S I DM ) = E BM. P( D I M ) = 8N. P(RW I A ) =9. The table below contains the party affiliation for Congress as of July 16, 2010. Any table showing party affiliation is subject to change so a date should be attached to any table. Many changes take place during any calendar year. For example, during the 2009 session of Congress there were 13 changes in the Senate alone. Ted Kennedy and Robert Bird died and Arlen Specter changed parties. There were several appointed positions that were temporary until a special election was held as 4 senators resigned. There were at least 14 changes in the House. One change involved both the House and Senate when Mark Kirk from Illinois resigned his House seat to take a senate seat in November 2009. Democrat Republican Other Vacant Totals (D) (R) (1) (V) Senate (S) 57 41 2 0 100 House (H) 255 177 0 3 435 Totals 312 218 2 3 535 Find the following probabilities if 1 seat is selected at random from the sample space. State the answer as a fraction and then as a decimal number rounded to 2 decimal places. 9A. P( S ) = 9B. P( H ) = Fraction Decimal Fraction Decimal 9C. P(R ) = 9D. P( R ) = 9E. P( R and S) = 9F. P( H and D ) = = 9G. P( S I D ) = 9H. P( HIR ) = 91. P( S and V ) = 9J. P( HI D or R ) =