Given that Fawn plants vegetables into garden =
Exact amount of garden is not given so we can assume that amount of garden is 1.
Then remaining amount of garden
Now half of the remaining part of garden that is half of rd part of garden is planted with flowers
so that will be
Hence required fraction for the answer will be 1/6.
Answer:
a.) 0.7063
b.) 23
Step-by-step explanation:
a.)
Let X be an event in which at least 2 students have same birthday
Y be an event in which no student have same birthday.
Now,
P(X) + P(Y) = 1
⇒P(X) = 1 - P(Y)
as we know that,
Probability of no one has birthday on same day = P(Y)
⇒P(Y) = where there are n people in a group
As given,
n = 30
⇒P(Y) = = 0.2937
∴ we get
P(X) = 1 - 0.2937 = 0.7063
So,
The probability that at least two of them have their birthdays on the same day = 0.7063
b.)
Given, P(X) > 0.5
As
P(X) + P(Y) = 1
⇒P(Y) ≤ 0.5
As
P(Y) =
We use hit and trial method
If n = 1 , then
P(Y) = = 1
0.5
If n = 5 , then
P(Y) = = 0.97
0.5
If n = 10 , then
P(Y) = = 0.88
0.5
If n = 15 , then
P(Y) = = 0.75
0.5
If n = 20 , then
P(Y) = = 0.588
0.5
If n = 22 , then
P(Y) = = 0.52
0.5
If n = 23 , then
P(Y) = = 0.49
0.5
∴ we get
Number of students should be in class in order to have this probability above 0.5 = 23
