Question

which events have a probability of 25 percent? choose three correct answers. rolling a number less than 3 on a six - sided die choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4 choosing an oregon state quarter out a bag that contains 4 california state quarters, 3 oregon state quarters, 6 texas state quarters, and 3 new york state quarters

Explanation:

Step1: Calculate probability for rolling a number less than 3 on a six - sided die

A six - sided die has 6 possible outcomes (\(1,2,3,4,5,6\)). The numbers less than 3 are \(1\) and \(2\). So the number of favorable outcomes \(n = 2\). The probability \(P=\frac{n}{N}=\frac{2}{6}=\frac{1}{3}\approx 33.3\%\)

Step2: Calculate probability for choosing a spade out of a standard deck of cards

A standard deck has \(N = 52\) cards. There are \(n = 13\) spades. The probability \(P=\frac{n}{N}=\frac{13}{52}=\frac{1}{4}=25\%\)

Step3: Calculate probability for choosing a green jelly bean

The total number of jelly beans \(N=2 + 1+5=8\). The number of green jelly beans \(n = 2\). The probability \(P=\frac{n}{N}=\frac{2}{8}=\frac{1}{4}=25\%\)

Step4: Calculate probability for spinning a number less than 2 on a spinner

The spinner has \(N = 4\) equal - numbered sections (\(1,2,3,4\)). The numbers less than 2 is \(1\). So \(n = 1\). The probability \(P=\frac{n}{N}=\frac{1}{4}=25\%\)

Step5: Calculate probability for choosing an Oregon state quarter

The total number of state quarters \(N=4 + 3+6 + 3=16\). The number of Oregon state quarters \(n = 3\). The probability \(P=\frac{n}{N}=\frac{3}{16}=18.75\%\)

Answer:

choosing a spade out of a standard deck of cards, choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans, spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4