Question

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1 ) Lilacs are usually purple, but are sometimes white. In a group of 200 flowers, 40 are roses, 10 are lilacs, 10 are red, 6 are blue, 7 are purple. 8 are both red and roses.

What is the probability of finding a flower that is either purple or a lilac?

2 ) In a group of 200 flowers, 40 are roses, 10 are lilacs, 10 are red, 6 are blue. 8 flowers are both red and roses.

What is the probability of finding a flower that is either red or a rose?

3 ) We notate two events as follows:

Event A: Chicago Blackhawks win the championship
Event B: All players remain healthy

True/False:
The probability that the Chicago Blackhawks will win the championships if all players remain healthy can be notated as P(B | A)

Answer 1

1)

Answer)

Probability is = favorable/total

Total = 200

Favorable = either purple or lilac = 10 {as those 7 purples are among 10 lilacs only }

Required probability is 10/200 = 0.05

2)

Favorable = either red or rose = 10 {as total red = 10 and 8 are both red and rose, so among those 10 red 8 are roses, so total favorable = 10}

Required probability is 10/200 = 0.05

3)

False

As event A is chicago black hawks wins

Event B is all people remains healthy

So answer here should be p(a/b) instead of p(b/a)