Probability and Combinatorics in Sandwiches and Coin Tosses

The video tutorial introduces tree diagrams using sandwich combinations to explain sample space and probability. It calculates the probability of choosing specific sandwiches. The tutorial then shifts to coin tosses, exploring the sample space and calculating probabilities for different outcomes, such as getting three tails or two heads and one tail.

What is the first decision to make when creating a sandwich using a tree diagram?

• Type of sauce

• Type of meat

• Type of bread

• Type of cheese

How many total sandwich combinations are possible with the given options?

• Five

• Four

• Seven

• Six

What is the probability of selecting a turkey sandwich on sourdough bread?

• 1/6

• 1/5

• 1/4

• 1/3

How many coins are used in the coin toss example?

• Four

• Three

• Two

• One

What is the total number of possible outcomes when tossing three coins?

• Six

• Seven

• Eight

• Nine

What is the probability of getting three tails when tossing three coins?

• 1/6

• 1/8

• 1/2

• 1/4

Which sequence is NOT a way to get two heads and one tail?

• Heads, Heads, Tails

• Heads, Tails, Heads

• Tails, Heads, Heads

• Heads, Tails, Tails

How many different sequences result in two heads and one tail?

• Four

• One

• Two

• Three

Does the order of heads and tails matter when calculating the probability of two heads and one tail?

• Yes, it always matters

• No, the order does not matter

• No, it never matters

• Yes, but only for the first coin

What is the probability of getting two heads and one tail in any order?

• 3/8

• 1/2

• 1/4

• 1/8