Mr Daniels Maths
Probability Trees

Set 1

Set 2

Set 3

Q1) There were two colour of apples in a tin. There were 5 yellow apples ,and 8 blue apples. Two apples were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{19}{39}\) ]

Q1) There are 6 green pencils ,and some yellow pencils in a box . 3 extra yellow pencils were added. Two pencils were picked at random and not replaced. The probability they were both green was \(\frac{15}{91}\). How many yellow pencils were there to begin with ?
[ 5 ]

Q1) There were 8 red sweets ,and some green sweets in a packet. Two sweets were picked at random from the packet and not replaced. The probability they were both the same is \(\frac{19}{39}\). How many green sweets were there ?
[ 5 ]

Q2) There were 6 red pens ,and 8 yellow pens in a bag . Two pens were picked and not replaced. What was the probability they were both red ?
[ \(\frac{15}{91}\) ]

Q2) There were 4 yellow sweets ,and some red sweets in a tray . Two sweets were picked at random and not replaced. The probability they were both yellow was \(\frac{6}{55}\). How many red sweets were there ?
[ 7 ]

Q2) There are two colour of apples in a box. There are 5 more blue apples than yellow . Two apples are picked at random and not replaced.The probability they are both the same is \(\frac{11}{21}\). The number of yellow apples is less than 10. How many blue apples are there ?
[ 10 ]

Q3) There were 7 purple sweets ,and 10 red sweets in a tray . Two sweets were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{21}{136}\) ]

Q3) There were 9 purple pencils ,and some yellow pencils in a bag . Two pencils were picked at random and not replaced. The probability they were both purple was \(\frac{6}{13}\). How many yellow pencils were there ?
[ 4 ]

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

Q4) There were 5 purple beads ,and 5 red beads in a box . Two beads were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{2}{9}\) ]

Q4) There were 4 red sweets ,and some yellow sweets in a box . Two sweets were picked at random and not replaced. The probability they were both red was \(\frac{6}{91}\). How many yellow sweets were there ?
[ 10 ]

Q4) There are two colour of pens in a bag. There are 4 more yellow pens than blue . Two pens are picked at random and not replaced.The probability they are both the same is \(\frac{17}{33}\). The number of blue pens is less than 10. How many yellow pens are there ?
[ 8 ]

Q5) There were two colour of sweets in a tin. There were 9 purple sweets ,and 6 green sweets. Two sweets were picked and not replaced. What was the probability they were both the same colour ?
[ \(\frac{17}{35}\) ]

Q5) There are 9 yellow beads ,and some purple beads in a packet . 2 extra purple beads were added. Two beads were picked at random and not replaced. The probability they were both yellow was \(\frac{3}{10}\). How many purple beads were there to begin with ?
[ 5 ]

Q5) There are 7 yellow apples ,and some red apples in a packet. Two apples were picked at random from the packet and not replaced. The probability they are both the different is \(\frac{8}{15}\). How many red apples were there ?
[ 8 ]