Respuesta :
The probability that all of the cards drawn are red is 0.0253.
How can we find the probability?
A standard deck of playing cards has 52 cards.
Of the 52 cards, 26 of the cards are red cards.
When we draw the first card, the probability of getting red is 26/52.
When we draw the second card, the probability of getting red is 25/51.
When we draw the third card, the probability of getting red is 24/50.
When we draw the fourth card, the probability of getting red is 23/49.
When we draw the fifth card, the probability of getting red is 22/48.
Therefore, the probability of drawing 5 red cards without replacement is
= [tex]\frac{26}{52}* \frac{25}{51}* \frac{24}{50} *\frac{23}{49}* \frac{22}{48}[/tex]
= 26*25*24*23*22/52*51*50*49*48
= 0.0253
Therefore, we have found that the probability that all cards drawn are red is 0.0253.
Learn more about probability here: https://brainly.com/question/25870256
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