Hawkes Learning Business Statistics 4.3 Fall 2023
Complete
Determine if the following events are independent.
Going to the gym. Losing weight.
Dependent
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of
chips. There are 4 types of drinks to choose from, 6 types of sandwiches, and 4
types of chips.
How many different value meal packages are possible?
4 6 4 = 96
Clue is a board game in which you must deduce three details surrounding a
murder. In the original game of Clue, the guilty person can be chosen from 6
people, and there are 6 different possible weapons and 9 possible rooms. At one
point in the game, you have narrowed the possibilities down to 4 people, 5
weapons, and 7 rooms. What is the probability of making a random guess of the
guilty person, murder weapon, and location from your narrowed-down choices,
and the guess being correct?
Enter a fraction or round your answer to 4 decimal places, if necessary.
Step 1.
4 5 7 = 140
Step 2.
1/140
Two cards are drawn without replacement from a standard deck of 52 playing
cards. What is the probability of choosing a jack and then, without replacement, a
face card?
Express your answer as a fraction or a decimal number rounded to four decimal
places.
Step 1.
Use the multiplication rule for dependent events since the cards are drawn without
replacement.
Recall that a standard deck of 52 cards has 4 jacks.
Let E be the event "drawing a jack". Therefore, P(E) will be
P(E) = 1/13
Step 2.
Since a jack was already drawn, we are left with 51 cards to choose from.
Let F be the event "drawing a face card". Therefore, P(F|E) will be
P(F|E) = 11/51
Step 3.
From the past two steps we know that P(E)=4/52 and P(F|E)=11/51. Therefore, using
Complete
Determine if the following events are independent.
Going to the gym. Losing weight.
Dependent
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of
chips. There are 4 types of drinks to choose from, 6 types of sandwiches, and 4
types of chips.
How many different value meal packages are possible?
4 6 4 = 96
Clue is a board game in which you must deduce three details surrounding a
murder. In the original game of Clue, the guilty person can be chosen from 6
people, and there are 6 different possible weapons and 9 possible rooms. At one
point in the game, you have narrowed the possibilities down to 4 people, 5
weapons, and 7 rooms. What is the probability of making a random guess of the
guilty person, murder weapon, and location from your narrowed-down choices,
and the guess being correct?
Enter a fraction or round your answer to 4 decimal places, if necessary.
Step 1.
4 5 7 = 140
Step 2.
1/140
Two cards are drawn without replacement from a standard deck of 52 playing
cards. What is the probability of choosing a jack and then, without replacement, a
face card?
Express your answer as a fraction or a decimal number rounded to four decimal
places.
Step 1.
Use the multiplication rule for dependent events since the cards are drawn without
replacement.
Recall that a standard deck of 52 cards has 4 jacks.
Let E be the event "drawing a jack". Therefore, P(E) will be
P(E) = 1/13
Step 2.
Since a jack was already drawn, we are left with 51 cards to choose from.
Let F be the event "drawing a face card". Therefore, P(F|E) will be
P(F|E) = 11/51
Step 3.
From the past two steps we know that P(E)=4/52 and P(F|E)=11/51. Therefore, using
