Mr Daniels Maths
Probability

Set 1

Set 2

Set 3

Q1) There are 4 yellow beads, 9 are green beads, and 8 are purple beads in a box
a) What is the probability of picking a yellow one?
b) What is the probability of picking a green one?
c) What is the probability of picking a purple one?
[ a) P(yellow)=\(\frac{4}{21}\).
b) P(green)=\(\frac{3}{7}\).
c) P(purple)=\(\frac{8}{21}\).
]

Q1) There were 8 purple sweets ,and 10 green sweets in a tin . Two sweets were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{28}{153}\) ]

Q1) There were 6 red apples ,and some blue apples in a tin . Two apples were picked at random and not replaced. The probability they were both red was \(\frac{5}{26}\). How many blue apples were there ?
[ 7 ]

Q2) There are 2 blue beads ,and 6 red beads in a bag.
a) What is the probability of picking a blue bead?
b) What is the probability of picking a red bead?
[ a) P(blue)=\(\frac{1}{4}\).
b) P(red)=\(\frac{3}{4}\).
]

Q2) There were 5 blue beads ,and 5 purple beads in a tin . Two beads were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{2}{9}\) ]

Q2) There were 7 green sweets ,and some red sweets in a box . Two sweets were picked at random and not replaced. The probability they were both green was \(\frac{7}{15}\). How many red sweets were there ?
[ 3 ]

Q3) There are 9 yellow sweets, 8 are red sweets, and 3 are green sweets in a tray
a) What is the probability of picking a yellow one?
b) What is the probability of picking a red one?
c) What is the probability of picking a green one?
[ a) P(yellow)=\(\frac{9}{20}\).
b) P(red)=\(\frac{2}{5}\).
c) P(green)=\(\frac{3}{20}\).
]

Q3) There were 9 purple sweets ,and 9 yellow sweets in a bag . Two sweets were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{4}{17}\) ]

Q3) There are 9 blue sweets ,and some red sweets in a packet . 2 extra red sweets were added. Two sweets were picked at random and not replaced. The probability they were both blue was \(\frac{3}{10}\). How many red sweets were there to begin with ?
[ 5 ]

Q4) There are 9 purple beads ,and 7 yellow beads in a bag.
a) What is the probability of picking a purple bead?
b) What is the probability of picking a yellow bead?
[ a) P(purple)=\(\frac{9}{16}\).
b) P(yellow)=\(\frac{7}{16}\).
]

Q4) There were 6 blue apples ,and 4 green apples in a box . Two apples were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{1}{3}\) ]

Q4) There were 6 purple beads ,and some blue beads in a tray . Two beads were picked at random and not replaced. The probability they were both purple was \(\frac{3}{11}\). How many blue beads were there ?
[ 5 ]

Q5) There are 3 yellow pencils, 10 are red pencils, and 5 are green pencils in a packet
a) What is the probability of picking a yellow one?
b) What is the probability of picking a red one?
c) What is the probability of picking a green one?
[ a) P(yellow)=\(\frac{1}{6}\).
b) P(red)=\(\frac{5}{9}\).
c) P(green)=\(\frac{5}{18}\).
]

Q5) There were 9 red pens ,and 10 purple pens in a packet . Two pens were picked and not replaced. What was the probability they were both red ?
[ \(\frac{4}{19}\) ]

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