Question

if a dice and a coin are thrown three times together what is the probability of choosing the letter n or b​

Answer 1

A coin and a dice are thrown at random. Find the probability of:

a) getting a head and an even number

b) getting a head or tail and an odd number

Solution:

We can use a tree diagram to help list all the possible outcomes.

probability tree coin dice

From the diagram, n(S) = 12

a) Let A denote the event of a head and an even number.

A = ((H, 2), (H, 4), (H, 6)} and n(A) = 3

b) Let B denote the event a head or tail and an odd number.

B = {(H, 1), (H, 3), (H, 5), (T, 1), (T, 3), (T, 5)}

Answer 2

7 in 8

If you flip a coin 3 times the probability of getting at least one heads is 7 in 8 by reading the table. This table also works the opposite way, the chances of Charlie getting no heads is 1 in 8 because out of all the outcomes only one of them has only tails.