Question

Find the probability of selecting a black card or a 6 from a deck of 52 cards

Answer 1

Step-by-step explanation:

Favorable outcomes = 26 Black + 2 Sixes of Hearts and Diamonds = 28

Required Probability =28/52=7/13.

Alternative Method 2 :

P(Black Card) = P(BC)=26/52=1/2.

P(6 or Six) = P(Six)=4/52=1/13.

P(Six & BC) = 2/52=1/26.

P( BC U Six)= P(BC or Six)

= P(BC)+P(Six)-P(Six & BC)

= (1/2)+(1/13)—(1/26)

= (13+2-1)/26 = 14/26 =7/13 Answer.

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Answer 2

Given: A deck of 52 cards.

To find: Probability of selecting a black card or a 6.

Solution:

• The number of possible outcomes is 52.
• There are 26 black cards in a deck and 4 cards of 6 in a deck.
• But 2 of the four cards of 6 are already present in the set of black cards.
• Hence, 26 cards of black and 2 cards of 6 will be considered.
• So, the favourable number of outcomes is,

        $26 + 2 = 28$

• The probability will be given by,

        $\frac{28}{52} = \frac{7}{13}$

Therefore, the probability of selecting a black card or a 6 from a deck of 52 cards is 7/13.