207 0 obj <>stream /Type /Annot 10 0 obj a. /ProcSet [/PDF/Text] 5 0 obj c. A couple plans to have two children. 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 581 /S /URI >> 3. /Rect [262.08 20.64 369.36 9.36] << /Contents 4 0 R /F1 7 0 R Represent the sample space for this problem by a tree diagram. 6 0 obj /Subtype /Link SMART notebook lesson. /Subtype /Link Finding Probability Using Tree Diagrams and Outcome Tables Chapter 4.5 –Introduction to Probability PDF created with pdfFactory Pro trial version www.pdffactory.com. << 7. ~�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}" << 8. /Border [0 0 0] Tree Diagrams n if you flip a coin twice, you can model the possible outcomes using a tree diagram or an h�bbd``b`� �SA�+ �� $Xw�ϖL�@#n�?#�/� n� b. ^ğ¢Úë�Rìõ:‹«šL-:×yáã´Na?>ëQâÅ>8 pœ_(g½~;Ÿç”Úª�ÁË"hœqSy±æm. endobj h�ԗKo�6�����!�ޒ��Iڠ�A� v9����G0�E���$-ʲg٢HQ����Rh�����B;��� V(oQㄎ h�b```�Df�e���af`a�pbP�`0WXðY������s20�[i f�x���`!oc� ��b`�LҌ@�������q\��������� � h� << 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 endobj %PDF-1.5 %���� 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 %%EOF endobj << RV�f�=]n^V���]߮? Double check that the leaf probabilities add to one. Displaying top 8 worksheets found for - Probability Tree Diagrams. >> >> endobj 0 endobj Check all those answers in the back of the worksheet. /Rect [262.08 22.86 367.44 9.06] endobj /S /URI >> /F2 8 0 R /A 11 0 R /Font >> [10 0 R 12 0 R] 3. What is the probability that they end up with two boys? Œ†Ùr$ØàOÃaE‰ÿ¹R¢Dİ¥²„Ù|›}‡ÙëhŒsÜŒH/~‚J�C¢›¬çõÒÒ«WCXóí‘g7w¨BHÃkï‘¢„qnaMàÛ.kĞ9sf¼¡.„Ò8$»õ2PÔ™Ñ&a‰4Âü_Âb­µ3�%§DËÍúí /Length 15 0 R 5. endobj 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. 4. 13 0 obj << 12 0 obj >> /URI (http://www.pdffactory.com) endobj /MediaBox [0 0 792 612] << /Resources 14 0 obj Check your tree against mine. /Border [0 0 0] 2. (The trees are provided between the questions and the answers.) /H /I /H /I 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.�)% 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. Congratulate self. Resources included: 1. 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 For each child it is equally likely to be a boy or a girl. /Filter /FlateDecode 9 0 obj ������8�)2L�|�G��&����� ���z�)YF�G�R�/@���O�+�9��v�v�. /Type /Page 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 = 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 Originally used for a GCSE Higher tier set. Añã§%¬)eAëw2ëŠuñWFHseb‘ ¼&±”)KüuÉÑä®ùÒÑ ÷î¬zúÀk°éϽ8eA‚; /Annots 9 0 R >> /A 13 0 R 11 0 obj 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. << Worksheet containing the examples. endstream endobj startxref Instructions Use black ink or ball-point pen. Draw a probability tree diagram. Try to answer all the questions marked (a), (b), etc... 6. Tracing paper may be used. /URI (http://www.pdffactory.com) /Type /Annot stream 193 0 obj <> endobj 2. /Parent 3 0 R >> Math 130 Worksheet 8 Using Tree Diagrams Names _____ 1.

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