PLEASE HELP

1. Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a spade.

Are these events independent?_____

Input Yes or No:_____

Determine the probability of drawing a diamond and then a spade without replacement.

Write your answer in a decimal form, rounded to four decimal places as needed.

Answer =

Linda draws a diamond from a standard deck of 52 cards. She returns the diamond to the deck, then draws a second card. Her second card is a spade.

Are these events independent?_____

Input Yes or No:_____

Determine the probability of drawing a diamond and then a spade with replacement.

Write your answer in a decimal form, rounded to four decimal places as needed.

Answer =

2.

Probability: Intersection of Independent Events

Determine the following probabilities. Enter your final answers as reduced fractions.

Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads.

Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 3.

A single-digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 88 and the letter is a vowel.

Two dice are rolled. Find the probability that the first die lands on an odd number and the second die is less than 2. ""