Question

In an experiment, a ball is drawn from an urn containing 11 orange balls and 8 blue balls. If the ball is orange, three coins are tossed. Otherwise two coins are tossed.
How many elements of the sample space will have a orange ball?
How many elements of the sample space are there altogether?

Answer 1

Answer:

a) 4

b) 12

Step-by-step explanation:

Since, when an orange ball is drawn, three coins are tossed. So, sample points are   OHHH, OHHT, OHTH, OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 8 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH,BHT,BTH,BTT.

So, clearly, 4 samples points will when a blue ball is drawn.

Total samples points=4+8=12