Question

For the process of tossing two balanced coins, how can i do this process ?
1.
are the events \at least one head shows" and \at least one tail shows" independent? Explain.
2.
are the events in (1) mutually exclusive? Explain.
3.
are the events \the rst coin shows heads" and \the second coin shows heads" independent? Explain.
4.
are the events in (3) mutually exclusive? Explain

Answer 1

are you familiar with conditional probability ?

Answer 2

yes

Answer 3

how many times do i have to toss the coins?

Answer 4

you're tossing one time

Answer 5

the experiment is "tossing two coins one time"

Answer 6

1.
are the events \at least one head shows" and \at least one tail shows" independent? Explain.

Answer 7

lets name the events :
A : at least one head shows
B : at least one tail shows

Answer 8

Suppose you know that event A happened,
can it affect the outcome of event B ?

Answer 9

for sure yes, because if you know that atleast one head is there, your chances for event B reduce greatly.

So can we say that event B depends on event A ?

Answer 10

which is same as saying the events are NOT independnt

Answer 11

is that clear ?

Answer 12

Yes thank you so much.. I really appreciate it. thx!!

Answer 13

np :)
2.
are the events in (1) mutually exclusive? Explain.

what do you think ?

Answer 14

can event A and event B occur at the same time ?

Answer 15

No

Answer 16

when u toss two coins,
can you have "atleast one head" and "at least one tail" at the same time ?

Answer 17

think a bit

Answer 18

yes

Answer 19

in above outcome, both events happened right ?

Answer 20

yes

Answer 21

that outcome has event A because, the outcome has atleast one heads