If the probability of picking a red ball out of bag A is 2/5 and the probability of picking a red ball out of bag B is 3/7, what is the chance that you will pick exactly 2 red balls if you pick 2 balls from A and 1 ball from B? The balls are not replaced.

Draw a tree diagram. Recognise that the second ball selected from bag A is dependent on the outcome of the first ball. The outcome of the ball selected from B is independent. There are 3 orders that 2 red balls can be take R R B, R B R or B R R. Find the probability of each route and then find the total probability by finding the sum of these values. 4/70 + 9/70 + 9/70 = 22/70

Answered by Nicky M. Maths tutor

3833 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The numbers a,b,c and d satisfy the equations: a+2b+3c+4d=k and 4a=3b=2c=d. What is the smallest value of k for which a,b,c and d are positive integers?


Solve the following simultaneous equations. 2x + 5y = -4. 7x + y = 19


There are "n" sweets in a bag, six are orange and the rest are yellow. If you take a random sweet from the bag and eat it. Then take at random another one and eat it. The probability of eating two orange sweets is 1/3. Show that n²-n-90=0.


161/5 x 26x =


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences