<p> Tree Diagrams 1</p><p>1. I have a red pen, a blue pen and a green pen in my pocket. I pick one out at random, note its colour and replace it. I then draw another pen and note its colour.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out</p><p>(a) 2 reds (b) A red and a blue in either order (c) Two pens the same colour (d) No green pens</p><p>2. In my pocket I have a 10p and two 50p pieces. I select a coin, replace it and draw again.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out</p><p>(a) two 50p coins (b) a total of 60p</p><p>3. A bag contains 3 red and 3 blue discs. A second bag contains 4 red and 2 blue discs. A disc is selected from the first bag and put into the second bag. A disc is then selected from this second bag and its colour noted.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out from the second bag</p><p>(a) a red (b) A blue 4. A bag contains 12 balls: 3 red, 4 blue and 5 green. A ball is selected at random and replaced. A second ball is then selected.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out</p><p>(a) 2 red balls (b) Two balls of different colours (c) No green balls</p><p>5. Repeat question four but this time the first ball is not replaced before the second is picked.</p><p>6. A bag contains 4 black and 4 white balls. Two balls are selected without replacement.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out</p><p>(a) 2 black balls (b) At least 1 black ball</p><p>7. A bag contains 5 red and 3 yellow sweets. Two sweets are selected without replacement.</p><p>Draw a tree diagram to show all possible outcomes. Use your diagram to calculate the probability of picking out</p><p>(a) a sweet of each colour (b) no yellow sweets</p>