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altavistard
Here's the way I see it:  5 cards are drawn, one by one, without replacement.  Half (or 26) of the original deck are black and half (26) are white.

P(5 are not black) = P(5 are red)

P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =

(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025   (answer)

We start with 52 cards.  We draw one, leaving 51 cards, 25 of which are red.  And so on.

Suppose that 5 cards are drawn from a well-shuffled deck of 52 cards. The probability that all 5 are not black = 0.025

What is probability?

Probability is simply how likely something is to happen.

[tex]Probability = \frac{Favorable\ outcome}{Total\ outcome}[/tex]

We assume that the five cards picked from the deck have been chosen one by one and without repetition.

The probability that all 5 cards are not black =

[tex]= \frac{26}{52} * \frac{25}{51} * \frac{24}{50} * \frac{23}{49} *\frac{22}{48}[/tex]

= 0.025

(When the first card was picked, total number of cards were 52, non black cards were 26. When the second card was picked, since one non black card has already been pulled, total number of cards are left to be 52 - 1 = 51 and non black cards are 26 - 1 = 25. This continues for 5 times.)

Learn more about probability here

https://brainly.com/question/11234923

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