1 3 − 1 4 ■ A ball is drawn randomly from a jar that contains five red balls, two white balls, and one yellow ball. Find the probability of the given event.

(a) A red ball is drawn.

(b) The ball drawn is not yellow.

(c) A black ball is drawn.

(a)

To find:

The probability of the ball drawn from the jar to be red.

Given:

The jar has five red balls, two white balls, and one yellow ball and the event is that a red ball is drawn.

Approach:

The number of combinations of n distinct objects taken r at a time is,

C(n,r)=n!r!(n−r)!    ;  (r≤n)

Let S be the sample space of an experiment and let E be an event. Then the probability of E, denoted as, P(E) and given by,

P(E)=n(E)n(S)         ...(1)

Here, n(E)n(S)=number of elements in E number of elements in S 

Calculation:

There are total 8 balls in the jar

(b)

To find:

The probability that there is no yellow ball drawn from the jar.

(c)

To find:

The probability of a black ball drawn from the jar.