Question

- A fair coin is tossed 4 times, what is the probability that it lands on Heads each time?
- You have just tossed a fair coin 4 times and it landed on Heads each time, if you toss that coin again, what is the probability that it will land on heads?
- Give examples of two independent events.
- Dependent events are (sometimes, always, never) (choose one) mutually exclusive.
- If you were studying the effect that eating a healthy breakfast has on a child getting good grades in school, which of these probabilities would be much more relevant for you to know.

a) P( High grades/Healthy breakfast) or b) P(Healthy breakfast/High Grades)

f) 65 % of a firms employees are Female.. 42% of the firms employees are Female office workers. What percentage of the the females who work in the firm are office workers?

Answer #1

A fair coin is tossed 4 times, what is the probability
that it lands on Heads each time?

A coin is tossed 100 times and the results are recorded. 40
times the coin lands on heads, the other 60 times the coin lands on
tails. If 40 of the recorded tosses were selected at random, what
is the probability that the coin landed on heads exactly 14
times?

a coin is tossed 50 times and it lands on heads 28 times. Find
the experimental probability and the theoretical probability of the
coin landing on heads. Then, compare the experimental and
theoretical probabilities

PROBABILITY QUESTION
A fair coin is tossed n times. Sn is the # of heads
after tossed. Show that P(Sn ≥ 3n/4) ≤ e -n/8
.

A fair coin is tossed 8 times. Find the probability of getting
exactly 4 heads.

A fair coin is tossed 4 times.
What is the probability of getting exactly 3 heads conditioned
on the event that the first two tosses came out the same?

A fair coin is tossed three times. What is the probability
that:
a. We get at least 1 tail
b. The second toss is a tail
c. We get no tails.
d. We get exactly one head.
e. You get more tails than heads.

suppose you took a fair coin tossed it five times , if you obtained
five heads, is it more likely that the next toss will be a head or
tail ? explain

A
coin is tossed 225 times and shows heads 135 times. Is the coin
fair ?
Show work

You flip a fair coin. If the coin lands heads, you roll a fair
six-sided die 100 times. If the coin lands tails, you roll the die
101 times. Let X be 1 if the coin lands heads and 0 if the coin
lands tails. Let Y be the total number of times that you roll a 6.
Find P (X=1|Y =15) /P (X=0|Y =15) .

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