8. /URI (http://www.pdffactory.com) 3. 2. 207 0 obj <>stream /Annots 9 0 R c. Math 130 Worksheet 8 Using Tree Diagrams Names _____ 1. endobj For each child it is equally likely to be a boy or a girl. a. 7. /Subtype /Link >> stream Œ†Ùr$ØàOÃaE‰ÿ¹R¢Dİ¥²„Ù|›}‡ÙëhŒsÜŒH/~‚J�C¢›¬çõÒÒ«WCXóí‘g7w¨BHÃkï‘¢„qnaMàÛ.kĞ9sf¼¡.„Ò8$»õ2PÔ™Ñ&a‰4Âü_Âbµ3�%§DËÍúí /Border [0 0 0] 6 0 obj 199 0 obj <>/Filter/FlateDecode/ID[<7A5A2F2C6F86A14C9564B82DF3B46C77><9CE1FBB2A2C54649A07B0F4D1A8497C9>]/Index[193 15]/Info 192 0 R/Length 53/Prev 21743/Root 194 0 R/Size 208/Type/XRef/W[1 2 1]>>stream /Type /Annot >> Tree Diagrams n if you flip a coin twice, you can model the possible outcomes using a tree diagram or an /Parent 3 0 R /S /URI Represent the sample space for this problem by a tree diagram. 10 0 obj >> << /ProcSet [/PDF/Text] endobj Originally used for a GCSE Higher tier set. /A 11 0 R /Rect [262.08 22.86 367.44 9.06] 13 0 obj << [10 0 R 12 0 R] 3. RV�f�=]n^V���]߮? H‰VÛn1}ç+汕Šc{½^ïkERT)RÕğ$BÄ%‚%¨ß™±½x/lò�{f||æâ±Üƒ$üıJg°r%a;¢Aî`3*” £‡‘‚W@í=J²*´¤é~ÎF7w /Rect [262.08 20.64 369.36 9.36] endstream endobj startxref The tree diagram for randomly picking three blocks without replacement, with associated probabilities, would look like this: B B= B Y Y1 Y Y B3 B Y B1 /A 13 0 R 12 0 obj /H /I 0 Tracing paper may be used. (The trees are provided between the questions and the answers.) 193 0 obj <> endobj SMART notebook lesson. Double check that the leaf probabilities add to one. b. 5 0 obj h�bbd``b`� �SA�+ �� $Xw�ϖL�@#n�?#�/� n� PROBABILITY & TREE DIAGRAMS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. endobj /MediaBox [0 0 792 612] /Border [0 0 0] << endobj h�ԗKo�6�����!�ޒ��Iڠ�A� v9����G0�E���$-ʲg٢HQ����Rh�����B;��� V(oQㄎ Try to answer all the questions marked (a), (b), etc... 6. endobj << >> Conditional Probability and Tree Diagrams De nition If A and B are events in a sample space S, with P(B) 6= 0, the conditional probability that an event A will occur, given that the event B has occurred is given by P A B = P(A\B) P(B): If the outcomes of S are equally likely, then P A B = /Type /Page 14 0 obj >> endstream endobj 194 0 obj <>/Metadata 13 0 R/Outlines 24 0 R/PageLayout/OneColumn/Pages 191 0 R/StructTreeRoot 27 0 R/Type/Catalog>> endobj 195 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Type/Page>> endobj 196 0 obj <>stream /Length 15 0 R A couple plans to have two children. Finding Probability Using Tree Diagrams and Outcome Tables Chapter 4.5 –Introduction to Probability PDF created with pdfFactory Pro trial version www.pdffactory.com. /S /URI 581 >> Worksheet containing the examples. /F1 7 0 R %PDF-1.5 %���� /H /I /Contents 4 0 R endobj << Check your tree against mine. /Font Check all those answers in the back of the worksheet. << Añã§%¬)eAëw2ëŠuñWFHseb‘ ¼&±”)KüuÉÑä®ùÒÑ ÷î¬zúÀk°éϽ8eA‚; 9 0 obj /Type /Annot Displaying top 8 worksheets found for - Probability Tree Diagrams. << ØÙÍá^ʳH¡§m™a|Ëõç¯4ãn®^P„ê�IŞ„ı¸®/s•N;1ofC º™€wVM+ñçõ�ıKõAe§Oò6Ç�™ƒ0Ÿ.©”Ü]EßêsoÉ"›6¿WÈÂÍŒ‡Ü»™îş¿ny:ØQâî¹ìgÿkî\Àë¿äœ%8:¥–Æ‚©4óö^§f¬¸½™¡“ñìÍt“×…/XfbR& …¶%ì¢%½…endstream /Subtype /Link e|u������{뷻귴�����N\8Y�������ۼT����f����n��_�L9������I#�s�ݗ�{��~����rt����?��)�Ia��9����D��0 �4 �AflQ�Fߒ�'�Q��6R�!�����A�X�X|F]m�0�y�;�'~h!�SS,�E�� �cn��l��czf}��@M�������BkI��֥�qE|�� �5�� -ɍ�v=�V)@Gش�z �1��.�}�8�Ҡ���;f��?�7�+i.�)% endobj %%EOF 4. Congratulate self. 11 0 obj << Resources included: 1. endobj /F2 8 0 R ~�F�؇����U�o��2������U���v�%���������ޛ�vP]��U��V7�Mu����¹H:�BB���i����w�ݺ���q�n6ߓ�Y�i@A���]\mWϿܓ��ߵ��ku�ݭ�u}" >> 2. /Resources What is the probability that they end up with two boys? /URI (http://www.pdffactory.com) ^ğ¢Úë�Rìõ:‹«šL-:×yáã´Na?>ëQâÅ>8 pœ_(g½~;Ÿç”Úª�ÁË"hœqSy±æm. ������8�)2L�|�G��&����� ���z�)YF�G�R�/@���O�+�9��v�v�. In a conditional probability an outcome or event E is dependent upon another outcome or event F. A box contains 3 blue blocks and 2 yellow blocks. Draw a probability tree diagram. Some of the worksheets for this concept are Kuta software probability, Tree diagrams 70b, Awork aboutprobabilitytreediagrams, Tree diagrams and probability, Mathematics linear 1ma0 probability tree diagrams, Tree diagrams and the fundamental counting principle, Wjec mathematics, Probability tree diagrams. Instructions Use black ink or ball-point pen. 5. >> h�b```�Df�e���af`a�pbP�`0WXðY������s20�[i f�x���`!oc� ��b`�LҌ@�������q\��������� � h� /Filter /FlateDecode
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