Theoretical Probability of Combined Events 2

Theoretical Probability of Combined Events 2

Multiple Choice

A spinner board consists of 6 equal sectors.

It is spun twice.

Are getting yellow on the first spin and getting yellow again on the second spin independent events?

• Yes, the events are independent events.

• No, the events are dependent events.

Multiple Choice

Six cards are numbered 1, 2, 3, 4, 5, 6.

Two cards are drawn randomly.

No replacement is made after the first card is drawn.

Are drawing a 6 as the first card and drawing another six as the second card independent events?

• Yes, the events are independent events.

• No, the events are dependent events.

Multiple Choice

There are three books on the shelf.

Hanz randomly selects two books from the shelf blindfolded.

No replacements made after the first book is selected.

Are selecting a fiction book as the first book and selecting another fiction book as the second book independent events?

• Yes, the events are independent events.

• No, the events are dependent events.

Multiple Choice

What is the probability that both books are fiction books?

• $\frac{2}{9}$

• $\frac{1}{3}$

• $\frac{2}{3}$

• $\frac{1}{2}$

Fill in the Blanks

The names of 5 students are put in a hat.

Miss Maria picks two names randomly.

Find the probability that the first student is a girl.

Fill in the Blanks

The names of 5 students are put in a hat.

Miss Maria picks two names randomly.

Find the probability that the second student is a girl, given that the first student picked is Mia.

Fill in the Blanks

The names of 5 students are put in a hat.

Miss Maria picks two names randomly.

Find the probability that the second student is a girl, given that the first student picked is Paul.

Multiple Choice

The names of 5 students are put in a hat.

Miss Maria picks two names randomly.

Are picking the two names independent events?

• Yes, the events are independent events.

• No, the events are dependent events.

Fill in the Blanks

Miss Maria randomly picks the names of two students from the same hat.

Find the probability that the two students chosen are girls.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Given that the first card is red, find the probability that the second card is red.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Given that the first card is red, find the probability that the second card is blue.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Given that the first card is blue, find the probability that the second card is red.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Given that the first card is blue, find the probability that the second card is blue.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Find the probability that the two cards are blue.

Fill in the Blanks

Two cards are randomly from a stack of one red card and three blue cards.

The first card is not replaced before the second card is picked.

Find the probability that the two cards are red.

Fill in the Blanks

Anna writes the letters in her name on 4 cards and puts them into a bag.

She then selects two cards randomly.

The first card is not replaced before the second card is selected.

Find the probability that two 'A's are selected.

Open Ended

Anna uses a possibility diagram to calculate the probability that two 'A's are selected as seen at the right.

What are Anna's mistakes?

Fill in the Blanks

Cards with letters in the word 'CALIFORNIA' are placed in a box.

One card is picked and the letter is noted.

Without replacing the first card, a second card is randomly picked and the letter is noted.

Find the probability that both letters are vowels.