Question

Amar keeps picking playing cards out of a standard deck of 52 cards in the hopes that he will

Answer 1

Answer:

The required probability is, 0.78

Step-by-step explanation:

There are, (52 - 13) = 39 cards which are not spade

5 cards can be chosen from the deck of 52 cards in

$^{52}{C}_{5}$  ways

and out of these 5 choices, none of them will be spade in,

$^{39}{C}_{5}$  ways

So,

P(None of the chosen cards is spade)

= $\frac {^{39}{C}_{5}}{^{52}{C}_{5}}$

$\simeq 0.22$

Hence,

P(out of these 5 choices, at least one card is spade)

$\simeq (1 - 0.22)$

= 0.78