Probability Unit Test

In a standard deck of cards, there are 52 cards. There are 4 suits: diamonds, hearts, spades, and clubs. Each suit has 13 cards.

Jenny randomly picks a card and records its number. If she does this 400 times, about how many times can she expect to choose a Jack?

• 7 times

• 30 times

• 45 times

• 100 times

A meteorologist predicted a 30% chance of no rain on Saturday. Which statement describes the likelihood of rain ACTUALLY falling on Saturday?

• Rain is likely to fall on Saturday.

• Rain is unlikely to fall on Saturday.

• Rain is certain to fall on Saturday.

• It is impossible for rain to fall on Saturday.

As a part of an experiment, Janelle spins a multicolored spinner 100 times and concludes that the probability of the arrow landing on orange is an impossible event. If Janelle's conclusion is true, which of these could be the probability of the event?

• 0

• 0.3

• 0.5

• 1

A warehouse has 35 cartons of toys. Ten cartons contain Legos, 10 cartons contain Encanto toys, 10 cartons contain Squishmallows, and 5 cartons contain miscellaneous toys. John concludes that if he picks a carton at random that he has an equal chance that he would choose Legos and Squishmallows. Is his conclusion correct?

• Yes, because there are two possible choices

• Yes, because the probability of choosing either is the same

• No, because the probability of choosing either is closer to 1

• No, because the probability of choosing either is closer to 0

Bethany has a bag that contains only blue, yellow, and green marbles. She chooses a marble, records the color, then returns the marble to the bag. She performs 50 pulls and draws 30 blue marbles, 5 yellow marbles, and 15 green marbles. Based on this data, how many times would Bethany choose a yellow marble in 1000 pulls?

• 100

• 300

• 600

• 900

A fair coin is tossed four times. What is the probability that the outcome of the four tosses will be either all heads or all tails?

• 0.10

• 0.35

Mark makes a spinner with 5 colors. He colors 20% of the spinner red, 20% blue, 20% yellow, 30% purple, and the rest orange. Mark spins the spinner. Which outcome would be most likely?

• the spinner landing on red or yellow

• the spinner landing on blue or orange

• the spinner landing on purple or orange

• the spinner landing on red or purple

A playpen contains 1 beagle puppy, 3 coonhound puppies, and 1 Australian shepherd puppy. What best defines the probability associated with choosing a kitten from the playpen without looking?

• certain

• likely

• unlikely

• impossible

A six-sided die was rolled 84 times, out of which it landed on a prime number 55 times. What is the relative frequency of the die landing on a non-prime number?

• 29.3%

• 34.5%

• 65.5%

• 71.7%