Question

A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have a product less than 30 and contain at least one odd number? 56810

Answer 1

The spinner is divided into four equal sections: 2, 4, 7, 9. This represents 4 possibilities

If the spinner is spun twice, the sample space is:

$\text{Sample space = 4}^2\text{ = 16}$

For product less than 30, the number of outcomes is shown below:

The number of outcomes that have a product less than 30 = 10

The sample space that shows possibilities of an odd number combination:

The number of outcomes that contains at least one odd number = 12

The number of outcomes that have a product less than 30 and contain at least one odd number is shown below. These outcomes are outcomes circled in both cases shown above,

The outcomes circled represents the number of outcomes that has a product less than 30 and contains at least one odd number

Answer: 6 (option B)