SOLUTION: A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.
Are A and B mutually exclusive? Why or why not?
Ar
Algebra.Com
Question 610019: A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.
Are A and B mutually exclusive? Why or why not?
Are A and B independent? Why or why not?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A coin is tossed 7 times. Let A be the event that the first toss is heads. Let B be the event that the fifth toss is heads.
Are A and B mutually exclusive? Why or why not?
No because there are a slew of sequences of 7 tosses
that have heads on the 1st and heads on the 5th toss.
----------------------------------------------------
Are A and B independent? Why or why not?
Yes because the P(head) on 1st = 1/2 and P(head on 5th) = 1/2
and P(A nd B) = P(A)*P(B) = 1/4
===================================
cheers,
Stan H.
RELATED QUESTIONS
A fair sided coin is tossed 5 times
1) How many outcomes in the sample space
2) what... (answered by Boreal)
A fair coin is tossed, and a fair die is thrown. Write down sample spaces for (a) the... (answered by Edwin McCravy)
a coin is to be tossed 1,000 times. What is the probability that the 785th toss is... (answered by stanbon)
An experiment consists of first rolling a die and then tossing a coin:
a. How many... (answered by htmentor)
Determine whether the events in the following situations are independent:
a. In a normal (answered by Boreal)
a coin is tossed 1000 times. what is the probability that the 785th toss is... (answered by Alan3354,stanbon)
* Show your complete solution
* Explain your answer after the solution
A coin is tossed (answered by ikleyn)
You are given an unfair coin with probability of obtaining a head equal to
1/3, 000,... (answered by MathLover1,ikleyn)
Let X be the random variable defined as follows: A fair coin is tossed three times. If... (answered by robertb)