What is the value of y?
1 answer:
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Answer:
<em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.
Step-by-step explanation:
Given that:
Number of students who play stringed instruments, N(A) = 15
Number of students who play brass instruments, N(B) = 20
Number of students who play neither, N()' = 5
<u>To find:</u>
The probability that a randomly selected students plays both = ?
<u>Solution:</u>
Total Number of students = N(A)+N(B)+N()' =15 + 20 + 5 = 40
(As there is no student common in both the instruments we can simply add the three values to find the total number of students)
As per the venn diagram, no student plays both the instruments i.e.
Formula for probability of an event E can be observed as:
So, <em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.
if we divide 20 by 12, we get a quotient of 1, and a remainder of 8.
Answer with explanation:
Alison is learning how to walk.50% of times she takes a step she falls down.
Probability of falling down in next step
Probability of not falling down in next step
From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.
While Simulating the Probability of falling down should be
And , probability of not falling down
→→⇒F=Falling, NF=Non Falling
A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.
Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.
D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.
Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.
Option D