Question

Determine the probability of each event. Write impossible, unlikely,

as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.

Answer 1

The probabilities range from impossible (0) to certain (1), depending on the event. The probability of not drawing a specific item from a selection is calculated by the ratio of favorable outcomes to total outcomes. Mia's statement about equal probabilities of moving back and up is incorrect, and Gavin is not likely to win in his next turn based on the probabilities of the draw.

Step-by-step explanation:

The probability of randomly picking a blue card from a bag containing all blue cards is certain, and the probability is 1. When rolling an odd number on a number cube containing numbers 1 through 6, the probability is as likely as not, and it is ½, since three out of six numbers are odd. The probability of picking a red marble from 4 white marbles and 7 green marbles is impossible, and the probability is 0 because there are no red marbles.

For a bag holding 6 tiles with 2 lettered and 4 numbered, the probability of drawing a number is ⅔ (4 out of 6). If there are five names in a hat and you don't want to draw Ed, the probability of not drawing Ed is ⅔. In a standard deck of cards, the probability of drawing a red card is ½ (26 out of 52).

Mia's statement about the probability of moving back being the same as moving up in a board game is incorrect, because there are 3 cards to move back and 6 cards to move up. Thus, the probability of moving back is ⅔. Gavin needs to move up more than 4 spaces to win the game. There are only 2 cards that allow moving up more than 4 spaces, so the probability that he will not win on his next turn is ⅖ (1 minus the probability of moving up 5 or 6 spaces).