Jodie tosses a biased coin and throws two fair tetrahedral dice. The probability that the coin shows a head is . Each of the dice has four
faces, numbered 1, 2, 3 and 4. Jodie's score is calculated from the
numbers on the faces that the dice land on, as follows:
if the coin shows a head, the two numbers from the dice are added
together;
if the coin shows a tail, the two numbers from the dice are
multiplied together.
Find the probability that the coin shows a head given that Jodie's score
is 8.
.

You don't state what the prob of heads or tails are of the biased coin.

Just to show the method of my calculations, I will assume the prob(heads) = 3/5 and prob(tails) = 2/5

Make yourself an addition and a multiplication table for 1,2,3,4

In the 16 possible sums, many are alike, there is only 1 sum of 8

to obtain that 8 , we have a prob of

(3/5)(1/16) = 3/80

in the multiplication table I see two 8's

to obtain one of those 8's, we have a prob of

(2/5)(2/16) = 1/20

So the prob of your event = 3/80 + 1/20 = 7/80

Change the calculations to reflect the actual probability of heads/tails of your biased coins

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just needed some points but try socratic

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (