Mr Daniels Maths
Probability Trees

Set 1

Set 2

Set 3

Q1) There were 9 green pencils ,and 7 yellow pencils in a tin . Two pencils were picked and not replaced. What was the probability they were both green ?
[ \(\frac{3}{10}\) ]

Q1) There were 8 blue pens ,and some green pens in a packet . Two pens were picked at random and not replaced. The probability they were both blue was \(\frac{28}{55}\). How many green pens were there ?
[ 3 ]

Q1) There were 10 purple apples ,and some blue apples in a tray. Two apples were picked at random from the tray and not replaced. The probability they were both the same is \(\frac{9}{19}\). How many blue apples were there ?
[ 9 ]

Q2) There were 4 green pens ,and 9 yellow pens in a box . Two pens were picked and not replaced. What was the probability they were both green ?
[ \(\frac{1}{13}\) ]

Q2) There were 9 green beads ,and some red beads in a tray . Two beads were picked at random and not replaced. The probability they were both green was \(\frac{36}{91}\). How many red beads were there ?
[ 5 ]

Q2) There are two colour of sweets in a bag. There are 2 more green sweets than yellow . Two sweets are picked at random and not replaced.The probability they are both the same is \(\frac{73}{153}\). The number of yellow sweets is less than 10. How many green sweets are there ?
[ 10 ]

Q3) There were two colour of sweets in a bag. There were 7 green sweets ,and 10 purple sweets. Two sweets were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{33}{68}\) ]

Q3) There are 6 blue apples ,and some green apples in a box . 3 extra green apples were added. Two apples were picked at random and not replaced. The probability they were both blue was \(\frac{5}{22}\). How many green apples were there to begin with ?
[ 3 ]

Q3) There are two colour of pens in a tin. There are 3 more green pens than blue . Two pens are picked at random and not replaced.The probability they are both the same is \(\frac{19}{39}\). The number of blue pens is less than 10. How many green pens are there ?
[ 8 ]

Q4) There were 4 green sweets ,and 5 yellow sweets in a tray . Two sweets were picked and not replaced. What was the probability they were both green ?
[ \(\frac{1}{6}\) ]

Q4) There are 4 blue beads ,and some purple beads in a tray . 2 extra purple beads were added. Two beads were picked at random and not replaced. The probability they were both blue was \(\frac{1}{13}\). How many purple beads were there to begin with ?
[ 7 ]

Q4) There are 10 blue sweets ,and some red sweets in a packet. Two sweets were picked at random from the packet and not replaced. The probability they are both the different is \(\frac{10}{19}\). How many red sweets were there ?
[ 9 ]

Q5) There were 7 green sweets ,and 10 blue sweets in a tin . Two sweets were picked and not replaced. What was the probability they were both green ?
[ \(\frac{21}{136}\) ]

Q5) There were 6 yellow sweets ,and some blue sweets in a bag . Two sweets were picked at random and not replaced. The probability they were both yellow was \(\frac{5}{12}\). How many blue sweets were there ?
[ 3 ]

Q5) There were 4 blue sweets ,and some yellow sweets in a packet. Two sweets were picked at random from the packet and not replaced. The probability they were both the same is \(\frac{7}{15}\). How many yellow sweets were there ?
[ 2 ]