Question

sophie will draw one card at random and then roll a number cube. There are four cards. Each card has a picture of a shape. All possible outcomes are shown.​

Answer 1

Ok, let's calculate the number of possible outcomes:

First, let's see the events and the number of outcomes in each event:

Drawing a card --- 4 outcomes

Rolling a number cube ---- 6 outcomes.

The total number of outcomes will be equal to the product between the number of outcomes in each individual event, this is:

C = 4*6 = 24.

Now, suppose that you have a restriction like:

"What is the probability that you have an odd number in the number cube?"

Ok, let's do the same:

Drawing a card ---- 4 outcomes (the restriction does not affect this event)

Rolling a number cube ---- 3 outcomes (because there are only 3 odd numbers)

The number of combinations is:

C' = 4*3 = 12.

Then the probability will be the quotient between the number of outcomes that meet the condition and the total number of outcomes:

P = C'/C = 12/24 = 0.5