The game of craps starts with a come-out roll where the shooter rolls a pair of

Question

The game of craps starts with a come-out roll where the shooter rolls a pair of dice. If the total is 7 or 11, the shooter wins immediately (there are ways that the shooter can win on later rolls if other numbers are rolled on the come-out roll). Roll a pair of dice 25 times. If it is given that for a pair of perfectly made dice the number of winning rolls is nearly always (99.4% of the time) between 1 and 11 out of 25 (a fact that you will find doing the rolling), then, which of the following could be a probability of winning for such a pair?

Turn on your favorite music radio station 8 times at least 10 minutes apart. Each time record whether or not music is playing.
Calculate the number of times music is playing divided by 8.
True or False:
This number is an estimate of the probability that music is playing when you turn on this station.

Give your answer to two decimal places.
Fill in the blank:
The probability of type AB blood is: _______ .

She can safely receive blood transfusions from people with blood types O and B.
What is the probability that a randomly chosen American can donate blood to Maria?
Give your answer to two decimal places.
Fill in the blank:
The probability that a randomly chosen American can donate blood to Maria is: _______ .

Give your answer to 2 decimal places.
Fill in the blank:
The probability that the ball will land in any one slot is: _______ .

What is the probability of winning?
Give your answer to 2 decimal places.
Fill in the blank:
The probability of winning is: _______ .

One column of numbers on the board contains all multiples of 3, that is, 3, 6, 9, ..., 36.
You place a column bet that wins if any of these numbers comes up.
What is the probability of winning?
Give your answer to 2 decimal places.
Fill in the blank:
The probability of winning is: _______ .

Give your answer to the nearest integer.
Fill in the blank:
The number of possible PINs is: _______ .

Give your answer to 4 decimal places.
Fill in the blank:
The probability that a PIN assigned at random has at least one 0 is: _______ .

Give your answer to 2 decimal places.
Fill in the blank:
The probability that both children have blood type A is: _______ .

Give your answer to 3 decimal places.
Fill in the blank:
The probability that both children have the same blood type is: _______ .

The game of craps starts with a come-out roll where the shooter rolls a pair of dice. If the total is 7 or 11, the shooter wins immediately (there are ways that the shooter can win on later rolls if other numbers are rolled on the come-out roll). Roll a pair of dice 25 times. If it is given that for a pair of perfectly made dice the number of winning rolls is nearly always (99.4% of the time) between 1 and 11 out of 25 (a fact that you will find doing the rolling), then, which of the following could be a probability of winning for such a pair?

Explanation / Answer

13:

For a valid probability distribution , sum of probabilites must be equal to 1. So probability of AB blood group is

P(AB) = 1 - (0.42+0.11+0.44) = 0.03

And it is given that

P(RH+) = 0.84

By the complement rule

P(RH-)=1 - P(RH+)= 0.16

(a)

P(O+) = P(O)P(Rh+) = 0.44*0.84 = 0.3696

(b)

P(O-) = P(O)P(Rh-) = 0.44*0.16 = 0.0704

(c)

P(A+) = P(A)P(Rh+) = 0.42*0.84 = 0.3528

(d)

P(A-) = P(A)P(Rh-) = 0.42*0.16 = 0.0672

(e)

P(B+) = P(B)P(Rh+) = 0.11*0.84 = 0.0924

(f)

P(B-) = P(B)P(Rh-) = 0.11*0.16 = 0.0176

(g)

P(AB+) = P(AB)P(Rh+) = 0.03*0.84 = 0.0252

(h)

P(AB-) = P(AB)P(Rh-) = 0.03*0.16 = 0.0048

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