Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b

Question

2 months ago

5

) the twentieth card is a spade; c) the last five cards are spades;

1 answer:

Inessa [12.5K] · Answer 1 · 2026-03-10T19:11:31+03:00

Answer:

Step-by-step explanation:

total number of cards = 52

total queens = 4

total spades = 13

A) likelihood of the tenth card being a queen

drawn instance (r) = 1

successful position (x) = 10th

p = 4/52

P( x,r,p) = $x-1Cr-1*p^(r) * q^(x-r)$

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) likelihood of the twentieth card being a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c) The final five cards being spades

p(final five cards being spades)

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5