Question

question
which event is least likely to occur?
answer
rolling a multiple of 3 on a six - sided die, numbered from 1 to 6.
spinning a spinner divided into five equal - sized sections colored red/green/yellow/blue/purple and landing on red or blue or purple.
winning a raffle that sold a total of 100 tickets, if you buy 20 tickets.
reaching into a bag full of 46 strawberry chews and 34 cherry chews without looking and pulling out a strawberry chew.

Explanation:

Step1: Calculate probability for rolling a multiple of 3

A six - sided die has numbers \(1,2,3,4,5,6\). Multiples of 3 are \(3\) and \(6\). So the probability \(P_1=\frac{2}{6}=\frac{1}{3}\approx0.33\)

Step2: Calculate probability for spinner landing on red, blue or purple

The spinner has 5 equal - sized sections. Red, blue, and purple are 3 of them. So the probability \(P_2 = \frac{3}{5}=0.6\)

Step3: Calculate probability for raffle

Total tickets \(n = 100\), tickets bought \(m = 20\). Probability \(P_3=\frac{20}{100}=0.2\)

Step4: Calculate probability for pulling a strawberry chew

Total chews \(N=46 + 34=80\), strawberry chews \(M = 46\). Probability \(P_4=\frac{46}{80}=0.575\)

Answer:

Winning a raffle that sold a total of 100 tickets, if you buy 20 tickets.