Question

a coin has two sides: head and tails. a die has six sides, numbered 1 through 6. if you flip the coin and roll the die, what is the probability that you flip "heads" and roll an number greater than 5

Answer 1

Here' the answer to the question. Please let me know in case you've doubts.

P(flip heads and roll a number on dice which is > 5) = ?

P(flip head in a coin toss) = 1/2, as out of 2 outcomes of heads and tails, 1 is a head

P(get > 5 on dice) = 1/6, because only 6 is >5, out of the 6 outcomes on a fair dice.

Rolling a dice and flipping a coin are 2 independent events, which means that if A and B are 2 independent events then P(A and B) = P(A)*P(B)

Using this concept we will say:

P(flip heads and roll a number on dice which is > 5)

= P(flip heads)*P(roll a dice with > 5)

= (1/2)*(1/6)

= 1/12

Answer: 1/12