Mr Daniels Maths
Probability Trees

Set 1

Set 2

Set 3

Q1) There were two colour of apples in a packet. There were 7 green apples ,and 5 blue apples. Two apples were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{31}{66}\) ]

Q1) There are 9 blue apples ,and some red apples in a box . 7 extra red apples were added. Two apples were picked at random and not replaced. The probability they were both blue was \(\frac{4}{19}\). How many red apples were there to begin with ?
[ 3 ]

Q1) There are 8 blue pencils ,and some green pencils in a packet. Two pencils were picked at random from the packet and not replaced. The probability they are both the different is \(\frac{16}{33}\). How many green pencils were there ?
[ 4 ]

Q2) There were two colour of pencils in a tin. There were 4 yellow pencils ,and 7 purple pencils. Two pencils were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{27}{55}\) ]

Q2) There are 9 red beads ,and some blue beads in a box . 9 extra blue beads were added. Two beads were picked at random and not replaced. The probability they were both red was \(\frac{36}{253}\). How many blue beads were there to begin with ?
[ 5 ]

Q2) There were 9 red pens ,and some blue pens in a packet. Two pens were picked at random from the packet and not replaced. The probability they were both the same is \(\frac{19}{40}\). How many blue pens were there ?
[ 7 ]

Q3) There were 8 yellow beads ,and 10 red beads in a box . Two beads were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{28}{153}\) ]

Q3) There were 6 blue sweets ,and some red sweets in a bag . Two sweets were picked at random and not replaced. The probability they were both blue was \(\frac{1}{3}\). How many red sweets were there ?
[ 4 ]

Q3) There are two colour of apples in a box. There are 5 more yellow apples than red . Two apples are picked at random and not replaced.The probability they are both the same is \(\frac{11}{21}\). The number of red apples is less than 10. How many yellow apples are there ?
[ 10 ]

Q4) There were two colour of beads in a bag. There were 7 yellow beads ,and 3 purple beads. Two beads were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{8}{15}\) ]

Q4) There are 5 red apples ,and some blue apples in a packet . 4 extra blue apples were added. Two apples were picked at random and not replaced. The probability they were both red was \(\frac{2}{21}\). How many blue apples were there to begin with ?
[ 6 ]

Q4) There are two colour of pens in a box. There are 2 more green pens than yellow . Two pens are picked at random and not replaced.The probability they are both the same is \(\frac{73}{153}\). The number of yellow pens is less than 10. How many green pens are there ?
[ 10 ]

Q5) There were two colour of sweets in a box. There were 8 red sweets ,and 6 green sweets. Two sweets were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{43}{91}\) ]

Q5) There are 8 yellow pens ,and some green pens in a tin . 3 extra green pens were added. Two pens were picked at random and not replaced. The probability they were both yellow was \(\frac{7}{34}\). How many green pens were there to begin with ?
[ 6 ]

Q5) There were 6 purple pencils ,and some red pencils in a packet. Two pencils were picked at random from the packet and not replaced. The probability they were both the same is \(\frac{6}{13}\). How many red pencils were there ?
[ 7 ]