A hat contains 7 scarves, two of which are blue. A bag contains 10 marbles, 3 of which are red. One scarf is randomly selected from the hat and one marble is randomly selected from the bag. Which expression gives the probability of selecting one blue scarf and one red marble?

Step-by-step explanation:

GIVEN: A hat contains scarves, two of which are blue. A bag contains marbles, of which are red. One scarf is randomly selected from the hat and one marble is randomly selected from the bag.

TO FIND: probability of selecting one blue scarf and one red marble.

SOLUTION:

Let be the event getting one blue scarf from hat.

probability getting one blue scarf from hat,

Let be the event getting one red marble from bag

probability getting one red marble ,

As both and are independent events

Using multiplication rule

probability of selecting one blue scarf and one red marble is