From a normal pack of 52 playing cards, one card is selected at random. How can I find the probability of the card being either a black card or an ace?
From a normal pack of 52 playing cards, one card is selected at random. How can I find the probability of the card being either a black card or an ace?
From a normal pack of 52 playing cards, one card is selected at random. How can I find the probability of the card being either a black card or an ace?
2 Answers
Explanation:
If the card is selected at random, every single card has the same probability to be picked, so the probability of any specific card is:
Consider the set of outcomes that satisfy this condition. This is the set of all black cards (including aces) plus the set of red aces.
Of the
The probability of picking a card that is either black or an ace is then:
Explanation:
Let,
and a Black-coloured, resp.
Then, the Reqd. Prob. is,
We know that,
For P(A), there are
selected in
There are
Similarly,
Note that,
an ace and black-coloured, i.e., a black-coloured ace.
Out of
Clearly,
From
derived by Respected Andrea S. !
Enjoy Maths.!