Question

can someone help me solve the following problems?
a) Illustrate the sample space for 7 tosses of a coin
A bag contains balls numbered 1 – 60. Find the probability that the number on the ball is a multiple of 6 and 8
b) A box contains 4 blue marbles and 3 white marbles. Rosemary draws 2 marbles with replacement from the box, Find the probability that
i) Both marbles are blue
ii) The first marble is blue and the second one is white
iii) Both marbles are white
iv) The first marble is white and the second marble is Blue

Answer 1

for the first question i.e. sample space of 7 tosses of coin simply make the combinations of heads and tails their would be 128 combinations i.e. (2^7) e.g. for all heads make HHHHHHH for all tails TTTTTTT etc

Answer 2

for probability question simply check that there are two no. i.e. 24 and 48 between 1-60 which i multiple of 6 & 8 both so the probablility would be 2/60.