Question

Two coins are tossed and a spinner numbered from 1 to 8 is spun. What is the probability that both coins land heads up and the spinner lands on a number less than 3?

Answer 1

1/16 is the answer...............

Answer 2

`(1)/(16)`

Explanation:

We want probability of one coin heads up AND another coin heads up AND spinner landing on number less than 3.

• Probability of one coin with heads up:
  `(1)/(2)`

(since there are 2 possibilities, heads of tails, and we want head)

• Probability of another coin with heads up:
  `(1)/(2)`

(since there are 2 possibilities, heads of tails, and we want head)

• Probability of spinner landing on a number less than 3:
  `(2)/(8)=(1)/(4)`

[since total number of outcomes is 8 (8 numbers) and we want less than 3 which are 2 (numbers 1 & 2)]

In probability, AND means multiplication. Since we want probability of one coin heads up AND another coin heads up AND spinner landing on number less than 3, we multiply all the 3 answers, so we have:

`(1)/(2)*(1)/(2)*(1)/(4)=(1)/(16)`