Please explain in detail and give the answer so I can cross check my work.

Question

Put the events in order of what is most likely to happen, to least likely to happen. If you were to win a million dollars for winning one of these events, which would you pick to play? Use probability to explain your answers.

1. Winning the Lottery: If the six numbers on the lottery ticket match the six numbers drawn, then you win. The numbers can range from 1-49.
2. Rolling a 7: Roll two dice numbered 1-6 then add the numbers that are face up to get 7.
3. Drawing the Ace of Spades: In a deck of 52 cards, what is the likelihood of drawing the Ace of Spades in one try.
4. 2 Heads in a Row: Using a coin with a heads-side and tails-side, what is the likelihood of flipping a heads twice in a row?
5. Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of pulling out a red marble 3 times in a row, assuming you put each marble back into the bag before drawing another?

Answer 1

From least to most likely:

1.  Winning the Lottery: If the six numbers on the lottery ticket match the six numbers drawn, then you win. The numbers can range from 1-49.

1 / C(49,6)

1.  Drawing the Ace of Spades: In a deck of 52 cards, what is the likelihood of drawing the Ace of Spades in one try.

1/52

1.  Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of pulling out a red marble 3 times in a row, assuming you put each marble back into the bag before drawing another?

(3/12)³

1.  Rolling a 7: Roll two dice numbered 1-6 then add the numbers that are face up to get 7.

1/6

1.  2 Heads in a Row: Using a coin with a heads-side and tails-side, what is the likelihood of flipping a heads twice in a row?

1/2 * 1/2 = 1/4

Flipping 2 heads in a row is your best bet.

Answer 2

Dr. Christal-Joy Turner's step by step solution for probability examples. Hope this helps!