A letter from the word CONFIDENCE is chosen at random, then a card is drawn from a standard deck. What is the probability of getting a conso

A letter from the word CONFIDENCE is chosen at random, then a card is drawn from a standard deck. What is the probability of getting a consonant, them a red card or ace.

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  1. Answer:

    9/26

    Step-by-step explanation:

    Word : CONFIDENCE

    Consonants in word : C, N, F, D, N, C = 6

    Total alphabets = 10

    Probability =required outcome /Total possible outcomes

    Probability (consonants) = 6 /10 = 3/5

    Number of red catds in deck = 26

    Number of aces in a card deck = 4

    Total number of cards = 52

    P(red) or P(ace)

    (4/52) + (26/52) = (4 + 26) / 52 = 30 / 52 = 15 / 26

    P(getting a consonant, then a red card or ace)

    (3 /5) * (15/26) = (3 * 15) / (26 *5) = 45/130 = 9/26

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