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1 answer:
Answer:
210 yd²
Step-by-step explanation:
If we rotate the shape we get a right angle triangle with a hypotenuse of 29 yd :
The area of a right angle triangle is given by the formula :
A =
Substituting the 2 values given in diagram gives us :
A = = 420÷2 = 210
Our units will be yd² as we are dealing with area
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Sent you a picture of the solution.
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have and
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
