Mr Daniels Maths
Probability Trees

Easy

Medium

Difficult

Q1) There were two colour of pencils in a box. There were 5 red pencils ,and 8 blue pencils. Two pencils were picked and not replaced. What was the probability they were both the same colour ?
\(\frac{19}{39}\)
Q1) There were 7 purple sweets ,and some green sweets in a tin . Two sweets were picked at random and not replaced. The probability they were both purple was \(\frac{3}{13}\). How many green sweets were there ?
7
Q1) There are two colour of apples in a draw. There are 5 more yellow apples than green . Two apples are picked at random and not replaced.The probability they are both the same is \(\frac{11}{21}\). The number of green apples is less than 10. How many yellow apples are there ?
10
Q2) There were two colour of beads in a box. There were 7 purple beads ,and 9 red beads. Two beads were picked and not replaced. What was the probability they were both the same colour ?
\(\frac{19}{40}\)
Q2) There are 7 purple beads ,and some yellow beads in a packet . 10 extra yellow beads were added. Two beads were picked at random and not replaced. The probability they were both purple was \(\frac{7}{100}\). How many yellow beads were there to begin with ?
8
Q2) There are two colour of beads in a tin. There are 4 more purple beads than green . Two beads are picked at random and not replaced.The probability they are both the same is \(\frac{17}{33}\). The number of green beads is less than 10. How many purple beads are there ?
8
Q3) There were 7 blue sweets ,and 5 yellow sweets in a packet . Two sweets were picked and not replaced. What was the probability they were both blue ?
\(\frac{7}{22}\)
Q3) There are 7 red apples ,and some blue apples in a tray . 4 extra blue apples were added. Two apples were picked at random and not replaced. The probability they were both red was \(\frac{3}{13}\). How many blue apples were there to begin with ?
3
Q3) There are two colour of apples in a bag. There are 3 more green apples than blue . Two apples are picked at random and not replaced.The probability they are both the same is \(\frac{17}{35}\). The number of blue apples is less than 10. How many green apples are there ?
9
Q4) There were 4 red beads ,and 7 blue beads in a bag . Two beads were picked and not replaced. What was the probability they were both red ?
\(\frac{6}{55}\)
Q4) There were 10 red pencils ,and some green pencils in a packet . Two pencils were picked at random and not replaced. The probability they were both red was \(\frac{5}{19}\). How many green pencils were there ?
9
Q4) There are 5 purple pencils ,and some green pencils in a tin. Two pencils were picked at random from the tin and not replaced. The probability they were both the same is \(\frac{4}{9}\). How many green pencils were there ?
5
Q5) There were two colour of beads in a bag. There were 5 purple beads ,and 2 blue beads. Two beads were picked and not replaced. What was the probability they were both the same colour ?
\(\frac{11}{21}\)
Q5) There were 5 yellow apples ,and some purple apples in a draw . Two apples were picked at random and not replaced. The probability they were both yellow was \(\frac{5}{33}\). How many purple apples were there ?
7
Q5) There are two colour of pens in a tray. There are 2 more green pens than red . Two pens are picked at random and not replaced.The probability they are both the same is \(\frac{7}{15}\). The number of red pens is less than 10. How many green pens are there ?
6