There is a game pick beads from a jar 2 blues and 1 purple, if someone picks blue bead they roll 2 dice and add the outcomes, if a player chooses a purple bead then you roll 2 dice and then multiply...

There is a game  pick beads from a jar 2 blues and 1 purple, if someone picks  blue bead they roll 2 dice and add the outcomes, if a player chooses a purple bead then you roll 2 dice and then multiply the outcomes together.

A1 is the event of  scoring 1

A2 have a score of 2

let V  be probability of selecting blue bead

Let  Sbe probability  of selecting purple bead

Draw out a probability tree and answer following

Find P(A10).

1.  Find P(A12 ∩ V)

.  Find P(A12|S).

 Use definition of independent events whether the events A5 and V are independent or not.

( Use  definition of independent events to show whether the events A4 and S are inde. or not

please explain reasoning