SOLUTION: 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on th
Algebra.Com
Question 466481: 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
2. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
3. A random variable Y has the following distribution:
Y | -1 0 1 2
P(Y)| 3C 2C 0.4 0.1 The value of the constant C is:
4. A random variable X has a probability distribution as follows:
X | 0 1 2 3
P(X) | 2k 3k 13k 2k
Then the probability that P(X < 2.0) is equal to
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss?
---
The results are independent. P(head on 4th toss) = 1/2
------------------------------------------------------------
2. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased?
Ans: 3*3 = 9 ways
-------------------------------------------------------------
3. A random variable Y has the following distribution:
Y | -1 0 1 2
P(Y)| 3C 2C 0.4 0.1 The value of the constant C is:
Ans: 3C+2C = 0.5
C = 0.1
======================
4. A random variable X has a probability distribution as follows:
X | 0 1 2 3
P(X) | 2k 3k 13k 2k
Then the probability that P(X < 2.0) is equal to
Ans: 2k+3k+13k+2k = 1
20k = 1
k = 1/20
---
P(x < 2) = 2k+3k = 5(1/20) = 1/4
======================================
Cheers,
Stan H.
==============
RELATED QUESTIONS
A fair coin is tossed four times. What is the probability of obtaining a head on the... (answered by Alan3354)
A fair coin is tossed four times. What is the probability of obtaining
a.exactly one... (answered by jim_thompson5910)
A fair coin is tossed four times. Find the probability of obtaining
A. a head on the... (answered by ilana)
a fair coin is flipped 4 times. what is the probability that
a) the last toss results in (answered by jerryguo41)
What is the probability that in ten independent tosses of a fair coin we get two heads in (answered by richard1234)
michele flips a coin and tosses a 6 sided number cube. what is the probability that the... (answered by stanbon)
An unbalanced coin shows heads 55% of the time.
(a) If the coin is tossed 12 times, (answered by stanbon)
A coin is Twice as likely to turn up Head as Tails in a sequences of independent
tosses... (answered by ikleyn)
A student flips a coin three times. What is the probability the coin lands tails up... (answered by math_helper)