Question

I have a well shuffled deck of 52 playing cards. Write the probability of getting the following out of (5) the deck of cards when a card is drawn at random 0 An ace ii) a black 10 ii) a red card iv) a face card v) A king​

Answer 1

Answer:

(1) 1/13 (2) 1/2 (3) 1/2 (4) 12/52 (5) 1/13

Step-by-step explanation:

Let S be the sample space.

thus, S={ 4 ace cards}

n(A)= 4

P(A)= n(A)/n(S)

=4/52

=1/13

From event B, a black card is drawn,

thus, B={26 cards}

n(B)= 26

thus P(B) =n(B)/n(S)

= 26/52

=1/2

From event C, a red card is drawn,

thus, C={26 cards}

n(C)= 26

P(C)= n(C)/n(S)

=26/52

=1/2

From event D, a face card is drawn,

thus, D= {12 face cards}

n(D)= 12

P(D)= n(D)/n(S)

=12/52