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?

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. 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. Rolling a 7: Roll two dice numbered 1-6 then add the numbers that are face up to get 7. Drawing the Ace of Spades: In a deck of 52 cards, what is the likelihood of drawing the Ace of Spades in one try. 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? 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

Looking for the most likely? Eliminate the Lottery one.

Dice: There are 6*6=36 combinations of two dice. Find the combinations that add to 7. Spoiler: there are 6 combos, so find that probability out of 36.

Ace of Spades: Easy. One card out of 52 possibilities.

Coins: Each flip has two possibilities. Two flips makes 2*2=4 possibilities. You want one outcome out of 4.

Marbles: There are 3 desirable marbles out of 12. For three events, multiply the probabilities: 3/12 * 3/12 * 3/12.

The probability that is greatest will be the most likely.