Question

One card is selected at random from an ordinary deck of 52 playing cards. Events​ A, B, and C are defined below. Find the probabilities for parts​ (a) through​ (h) below and express your results in words. Compute the conditional probabilities​ directly; do not use the conditional probability rule. Note that the ace has the highest value. A equals= event a card higher than 9card higher than 9 is selected B equals= event a card between 7 and 10 comma inclusive commacard between 7 and 10, inclusive, is selected C equals= event a spadespade is selected

Answer 1

Answer:

P(A) = 29/52

P (B)= 8/52

Probability of spade = P(C)= 13/52

Step-by-step explanation:

A equals= event a card  higher than 9 is selected

B equals= event a card between 7 and 10

C equals= event a spade is selected

A "standard" deck of playing cards consists of 52 Cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs. Each suit contains 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

If we consider " that the ace has the highest value" than the cards higher than 9 would be 8,7,6,5,4,3,2. Seven cards for each suit and there are four suits and an Ace also

So the P(A) = 29/52

For B we know there are two numbers between 7 and 10 that are 8 and 9.

So for four suits that would be 2*4= 8 cards

Probability of B = P(B)= 8/52

For C there are 13 spades so Probability of spade = P(C)= 13/52