Question

ch 12 i choose a card at random from a well - shuffled deck of 52 cards. there is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. both spades and clubs are black cards, whereas hearts and diamonds are red. the probability that the card chosen is not a spade is
0.25
0.50
1.00
0.75
question 4
1 pts
ch 12* in a table of random digits such as table b, each digit is equally likely to be any of 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. what is the probability that a digit in the table is a 7?
1/9
1/10
9/10
7/10

Explanation:

Step1: Recall probability formula

The probability of an event not - occurring is given by $P(\text{not }A)=1 - P(A)$.

Step2: Identify $P(A)$ for spade

The probability that the card is a spade, $P(\text{spade})=\frac{1}{4}=0.25$.

Step3: Calculate $P(\text{not spade})$

$P(\text{not spade}) = 1 - P(\text{spade})=1 - 0.25 = 0.75$.

For the second question:

Step1: Determine total number of outcomes

There are 10 possible digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Step2: Determine favorable outcomes

The favorable outcome (digit is 7) is 1.

Step3: Calculate probability

Using the formula $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, we get $P(\text{digit is }7)=\frac{1}{10}$.

Answer:

The probability that the card chosen is not a spade is 0.75.
The probability that a digit in the table is a 7 is $\frac{1}{10}$.