palcochran1313
29.09.2021 •
Mathematics
PSSR#2 Satta Trees
In 1912. Japan gave the United States several thousand flowering cherry trees as a symbol of friendship.
Similarly, the nation of Cameroon plans to give flowering Satta trees to other countries this year. When
asked how to decide which Satta Tress make good gifts, Cameroon's chief arborist explained:
"We plant Satta trees when they are 6 cm tall, and they
grow 9cm every year. The trees only power when they are
taller than 150 cm.
"When the trees become very old, they stop flowering. Make
sure you choose trees that are no more than 240 cm tall!"
It is very important that the trees Cameroon gives flower this
year! It would be considered an insult to receive a tree that
did not bloom. Luckily, Cameroon has many groves of Satta trees from which to select its gifts. How old
must the trees be so that they will flower within the year?
Solved
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Ответ:
5/6
Step-by-step explanation:
On a single number cube there are:
Prime numbers: {1, 3, 5}
Number greater than 2: {3, 4, 5, 6}
The desired probability is the sum of: (a) the probability of getting a 1, 3 or 5 AND (b) the probability of getting a number greater than 2.
These two probabilities are 3/6, or 1/2, AND 4/6, or 2/3.
The union of these two events is the sum of 3/6 and 4/6: 7/6. HOWEVER, this is not possible, because no probability can be greater than 1.
So: Look at the possible outcomes {1, 3, 4, 5, 6}. Only 2 is missing. Thus, the probability of rolling a prime number or a number greater than 2 is 5/6.