Does the following scenario describe a dependent or independent sequence of events: Flipping a coin and getting a "heads" and then flipping a second coin and getting a "heads".

I hope this helps <3

Step-by-step explanation:

What's the probability of getting heads on the second toss given that the first toss was a head. (Trying to refresh my probability a bit). I've seen this analyzed like this:

HH 1/4

HT 1/4

TH 1/4

TT 1/4

So since we are given information (Head on first flip), then TT goes away and were are left with:

HH 1/3

HT 1/3

TH 1/3

So we could say that HH now has a 1/3 probability. Should we not also get rid of TH, since we know that the first flip is a head? So now we have:

HH 1/2

HT 1/2

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,