If a coin is flipped twice and a standard die is rolled twice, what is the probability of getting two heads on the coin and the number 2 on the die twice?

1 Answer
Aug 11, 2016

#P(head)xxP(head)xxP(2)xxP(2)#

=#1/144#

Explanation:

We need all 4 outcomes..
a head AND a head AND a 2 AND a 2.

These are all mutually exclusive.
AND #rArr# multiply

#P(head)xxP(head)xxP(2)xxP(2)#

=#1/2xx1/2xx1/6xx1/6#

=#1/144#

We do not "use up" the head on a coin or the 2 on a die, so the probability stays the same for each throw.