Mutually exclusive

Time – can’t both happen (at the same time)

Mutually exclusive is about time, you cant have both happening at once

Two mutants (mutually) are excluded (excluded) from entering the club together by time.

Mutually exclusive is about time. The event can’t happen at the same time.

E.g. you can’t have both 1 and 2 children. Throwing a dice and obtaining a 6 and a 1 are mutually exclusive. You can’t be 170cm and 180cm tall.

Example 1

If you roll a dice, what is the probability of rolling a 3 or rolling an even number? (This is a mutually exclusive example.)

$Remember\ probability\=(N\umber\ of\ RIGHT\ answers)/(N\umber\ of \ALL\ possibl\e\ answers$

Start by drawing a probability tree:

In this example you cant roll a 3 and an even number

Now add the probabilities up the column.

Add up the columns example 1

$1/6+1/6+1/6+1/6=(1+1+1+1)/6=4/6=2/3$

Answer:

The probability of rolling a dice and getting a three or an even number is 2 in 3 or = 0.67.

And if 1 = 100% then 0.67 = 67% chance.

Example 2

What is the probability of you picking a heart from a pack of cards?

$Remember\ probability\=(N\umber\ of\ RIGHT\ answers)/(N\umber\ of \ALL\ possibl\e\ answers$

For 1 card probability = $1/52$

Start by drawing a probability tree:

What is the probability of picking a heart in a pack of cards

$1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52+1/52=13/52$

Answer:

The probability of picking a heart from a pack of cards = $13/52=1/4$

1 in 4 chance or 0.25.

And if 1 = 100% then 0.25 = 25% chance.