# In an experiment Jim flips a fair coin and then rolls a fair die. What is the probability he gets a head and a three?

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• (1/2) * (1/6) = 1/12

• Wow .. someone really doesn't inderstand how to work out a probibility.

All those thumbs down !

A coin has two sides .. so the probability of getting a head is 1 in 2

A coin has six sides .. so the probability of getting a three is 1 in 6

So .. the probability of of getting both is 1 in 12 ..... (1x1=1 ... 2x6=12)

• In an experiment Jim flips a fair coin and then rolls a fair die.

What is the probability he gets a head and a three?

7 : 12

• What is important that NO ONE is telling you is that a flipping a coin and rolling a die are INDEPENDENT EVENTS. So the Law of Multiplication for Independent Events is: P( A and B) = P(A) * P(B), where A is the first event and B is the second event.

• :-

P ( head and three) = (1/2) (1/6) = 1/12

• P = 1/2 * 1/6 = 1/12

P (3) = 1/6

.................................= 1/2 • 1/6

.................................= 1/12.....................ANS

• 1/6 X 1/2 = .0833%

• The probability of heads is 1/2

The probability of rolling three is 1/6

1/2 * 1/6

= 1/12